Bahri, Anthony (ed.); Jeffrey, Lisa (ed.); Panov, Taras (ed.); Stanley, Donald (ed.); Theriault, Stephen (ed.) Toric topology and polyhedral products (to appear). (English) Zbl 07810224 Fields Institute Communications 89. Cham: Springer (ISBN 978-3-031-57203-6/hbk; 978-3-031-57206-7/pbk). (2024). MSC: 57-06 55-06 57S12 55Pxx PDFBibTeX XML
K. Cieliebak, K.; Eliashberg, Y.; Mishachev, N. Introduction to the \(h\)-principle. 2nd edition. (English) Zbl 07792729 Graduate Studies in Mathematics 239. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6105-8/hbk; 978-1-4704-7617-5/pbk; 978-1-4704-7618-2/ebook). xvii, 363 p. (2024). MSC: 58Axx 58-02 53D99 PDFBibTeX XMLCite \textit{K. K. Cieliebak} et al., Introduction to the \(h\)-principle. 2nd edition. Providence, RI: American Mathematical Society (AMS) (2024; Zbl 07792729) Full Text: DOI
Dotsenko, Vladimir; Shadrin, Sergey; Vallette, Bruno Maurer-Cartan methods in deformation theory. The twisting procedure. (English) Zbl 1526.53001 London Mathematical Society Lecture Note Series 488. Cambridge: Cambridge University Press (ISBN 978-1-108-96564-4/pbk; 978-1-108-96380-0/ebook). viii, 177 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53-02 58-02 53C07 58A15 58A10 58A30 58A12 57R22 16E45 18G85 18M70 14F40 PDFBibTeX XMLCite \textit{V. Dotsenko} et al., Maurer-Cartan methods in deformation theory. The twisting procedure. Cambridge: Cambridge University Press (2024; Zbl 1526.53001) Full Text: DOI arXiv
Toenniessen, Fridtjof The homotopia of the spheres. An introduction to spectral sequences, localizations, and cohomology operations. (Die Homotopie der Sphären. Eine Einführung in Spektralsequenzen, Lokalisierungen und Kohomologie-Operationen.) (German) Zbl 07800920 Berlin: Springer Spektrum (ISBN 978-3-662-67941-8/pbk; 978-3-662-67942-5/ebook). xiii, 512 p. (2023). MSC: 55-01 55Q40 55R20 55T10 55N07 PDFBibTeX XMLCite \textit{F. Toenniessen}, Die Homotopie der Sphären. Eine Einführung in Spektralsequenzen, Lokalisierungen und Kohomologie-Operationen. Berlin: Springer Spektrum (2023; Zbl 07800920) Full Text: DOI
Hendrian, Leon Monoidal structures in orthogonal calculus. (English) Zbl 1522.55001 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät (Diss.). viii, 82 p., open access (2023). MSC: 55-02 55R40 55Q99 55S99 PDFBibTeX XMLCite \textit{L. Hendrian}, Monoidal structures in orthogonal calculus. Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (2023; Zbl 1522.55001) Full Text: DOI arXiv Link
Kihara, Hiroshi Smooth homotopy of infinite-dimensional \(C^{\infty}\)-manifolds. (English) Zbl 07753148 Memoirs of the American Mathematical Society 1436. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6542-1/pbk; 978-1-4704-7591-8/ebook). vii, 129 p. (2023). MSC: 55Pxx 55-02 58B05 58-02 58A40 18N40 PDFBibTeX XMLCite \textit{H. Kihara}, Smooth homotopy of infinite-dimensional \(C^{\infty}\)-manifolds. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07753148) Full Text: DOI arXiv
Degrijse, Dieter; Hausmann, Markus; Lück, Wolfgang; Patchkoria, Irakli; Schwede, Stefan Proper equivariant stable homotopy theory. (English) Zbl 1528.55001 Memoirs of the American Mathematical Society 1432. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6704-3/pbk; 978-1-4704-7574-1/ebook). vi, 142 p. (2023). Reviewer: Christoph Winges (Regensburg) MSC: 55-02 55P91 PDFBibTeX XMLCite \textit{D. Degrijse} et al., Proper equivariant stable homotopy theory. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1528.55001) Full Text: DOI arXiv
Chiarellotto, Bruno; Di Proietto, Valentina; Shiho, Atsushi Comparison of relatively unipotent log de Rham fundamental groups. (English) Zbl 07726551 Memoirs of the American Mathematical Society 1430. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6706-7/pbk; 978-1-4704-7572-7/ebook). v, 111 p. (2023). MSC: 14-02 14F35 14F40 14H10 PDFBibTeX XMLCite \textit{B. Chiarellotto} et al., Comparison of relatively unipotent log de Rham fundamental groups. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07726551) Full Text: DOI arXiv
Hill, Michael A.; Shi, XiaoLin Danny; Wang, Guozhen; Xu, Zhouli The slice spectral sequence of a \(C_4\)-equivariant height-4 Lubin-Tate theory. (English) Zbl 1523.55002 Memoirs of the American Mathematical Society 1429. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7468-3/pbk; 978-1-4704-7571-0/ebook). v, 119 p. (2023). Reviewer: Geoffrey Powell (Angers) MSC: 55-02 55P91 55P92 55Q40 55Q10 55Q91 PDFBibTeX XMLCite \textit{M. A. Hill} et al., The slice spectral sequence of a \(C_4\)-equivariant height-4 Lubin-Tate theory. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1523.55002) Full Text: DOI arXiv
Dutta, Hemen (ed.) Mathematical modelling. Theory and application. (English) Zbl 1522.34005 Contemporary Mathematics 787. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6965-8/pbk; 978-1-4704-7389-1/ebook). viii, 163 p. (2023). MSC: 34-06 37-06 92-06 34A33 37C29 37H10 92D30 35B10 35B40 92B05 92C50 55P57 55U10 00B15 PDFBibTeX XMLCite \textit{H. Dutta} (ed.), Mathematical modelling. Theory and application. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1522.34005) Full Text: DOI
Frigerio, Roberto; Moraschini, Marco Gromov’s theory of multicomplexes with applications to bounded cohomology and simplicial volume. (English) Zbl 1523.55001 Memoirs of the American Mathematical Society 1402. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5991-8/pbk; 978-1-4704-7403-4/ebook). vi, 153 p. (2023). Reviewer: Thilo Kuessner (Eichstätt) MSC: 55-02 55N10 55U10 57N65 57R19 20J06 43A07 53C23 55Q05 57Q05 PDFBibTeX XMLCite \textit{R. Frigerio} and \textit{M. Moraschini}, Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1523.55001) Full Text: DOI arXiv
Eyral, Christophe Homotopy theory on singular complex algebraic varieties. (English) Zbl 07646882 IMPAN Lecture Notes 5. Warsaw: Polish Academy of Science, Institute of Mathematics (ISBN 978-83-86806-54-6/pbk). 216 p. (2022). MSC: 14-01 55-01 55Pxx 14F35 14N20 PDFBibTeX XMLCite \textit{C. Eyral}, Homotopy theory on singular complex algebraic varieties. Warsaw: Polish Academy of Science, Institute of Mathematics (2022; Zbl 07646882)
Heuts, Gijs; Moerdijk, Ieke Simplicial and dendroidal homotopy theory. (English) Zbl 1512.18001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 75. Cham: Springer (ISBN 978-3-031-10446-6/hbk; 978-3-031-10447-3/ebook). xx, 612 p., open access (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18-02 55-02 18M75 18N50 55U35 PDFBibTeX XMLCite \textit{G. Heuts} and \textit{I. Moerdijk}, Simplicial and dendroidal homotopy theory. Cham: Springer (2022; Zbl 1512.18001) Full Text: DOI
Thiffeault, Jean-Luc Braids and dynamics. (English) Zbl 1509.37003 Frontiers in Applied Dynamical Systems: Reviews and Tutorials 9. Cham: Springer (ISBN 978-3-031-04789-3/pbk; 978-3-031-04790-9/ebook). xv, 141 p. (2022). Reviewer: Mauro Artigiani (Bogotá) MSC: 37-02 57-02 37E30 37E35 37N10 76F25 57K10 20F36 55Q05 PDFBibTeX XMLCite \textit{J.-L. Thiffeault}, Braids and dynamics. Cham: Springer (2022; Zbl 1509.37003) Full Text: DOI
Binda, Federico; Park, Doosung; Østvær, Paul Arne Triangulated categories of logarithmic motives over a field. (English) Zbl 1512.14001 Astérisque 433. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-957-9/pbk). ix, 267 p. (2022). Reviewer: Simon Felten (New York) MSC: 14-02 14A21 14A30 14F42 18N40 18N55 18F10 18G35 19E15 PDFBibTeX XMLCite \textit{F. Binda} et al., Triangulated categories of logarithmic motives over a field. Paris: Société Mathématique de France (SMF) (2022; Zbl 1512.14001) Full Text: arXiv
Kammeyer, Holger Introduction to algebraic topology. (English) Zbl 1502.55001 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-98312-3/pbk; 978-3-030-98313-0/ebook). viii, 182 p. (2022). Reviewer: Julie Bergner (Riverside) MSC: 55-01 PDFBibTeX XMLCite \textit{H. Kammeyer}, Introduction to algebraic topology. Cham: Birkhäuser (2022; Zbl 1502.55001) Full Text: DOI
Idrissi, Najib Real homotopy of configuration spaces. Peccot lecture, Collège de France, March & May 2020. (English) Zbl 1496.55001 Lecture Notes in Mathematics 2303. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (ISBN 978-3-031-04427-4/pbk; 978-3-031-04428-1/ebook). xviii, 185 p. (2022). Reviewer: David Blanc (Haifa) MSC: 55-02 55R80 55P62 18M75 57R19 PDFBibTeX XMLCite \textit{N. Idrissi}, Real homotopy of configuration spaces. Peccot lecture, Collège de France, March \& May 2020. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (2022; Zbl 1496.55001) Full Text: DOI
Lomonaco, Luciano Amito Elements of algebraic topology. Fundamental group, singular homology, homological algebra. (Elementi di topologia algebrica. Gruppo fondamentale, omologia singolare, algebra omologica.) (Italian) Zbl 1485.55002 Rome: Aracne Editrice (ISBN 979-12-5994-904-2/pbk; 979-12-5994-970-7/ebook). 324 p. (2022). MSC: 55-01 55Mxx 55Q05 18Gxx 16Exx 13Dxx PDFBibTeX XMLCite \textit{L. A. Lomonaco}, Elementi di topologia algebrica. Gruppo fondamentale, omologia singolare, algebra omologica (Italian). Rome: Aracne Editrice (2022; Zbl 1485.55002)
Huber, Annette; Wüstholz, Gisbert Transcendence and linear relations of 1-periods. (English) Zbl 1502.14002 Cambridge Tracts in Mathematics 227. Cambridge: Cambridge University Press (ISBN 978-1-316-51993-6/hbk; 978-1-00-901972-9/ebook). xx, 243 p. (2022). Reviewer: Riccardo Pengo (Bonn) MSC: 14-02 11-02 11Gxx 14F40 14F42 14C30 PDFBibTeX XMLCite \textit{A. Huber} and \textit{G. Wüstholz}, Transcendence and linear relations of 1-periods. Cambridge: Cambridge University Press (2022; Zbl 1502.14002) Full Text: DOI arXiv
Adhikari, M. R. Basic topology 3. Algebraic topology and topology of fiber bundles. (English) Zbl 1515.55001 Singapore: Springer (ISBN 978-981-16-6549-3/hbk; 978-981-16-6552-3/pbk; 978-981-16-6550-9/ebook). xxv, 468 p. (2022). MSC: 55-01 54-01 55Rxx PDFBibTeX XMLCite \textit{M. R. Adhikari}, Basic topology 3. Algebraic topology and topology of fiber bundles. Singapore: Springer (2022; Zbl 1515.55001) Full Text: DOI
Grandis, Marco Algebraic topology. A structural introduction. (English) Zbl 1493.55001 Singapore: World Scientific (ISBN 978-981-12-4835-1/hbk; 978-981-12-4837-5/ebook). x, 361 p. (2022). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55-01 PDFBibTeX XMLCite \textit{M. Grandis}, Algebraic topology. A structural introduction. Singapore: World Scientific (2022; Zbl 1493.55001) Full Text: DOI
Balchin, Scott (ed.); Barnes, David (ed.); Kędziorek, Magdalena (ed.); Szymik, Markus (ed.) Equivariant topology and derived algebra. Based on the conference, Trondheim, Norway, 2019. In honour of Professor J. P. C. Greenlees’ 60th birthday. (English) Zbl 1476.55006 London Mathematical Society Lecture Note Series 474. Cambridge: Cambridge University Press (ISBN 978-1-108-93194-6/pbk; 978-1-108-94287-4/ebook). xviii, 338 p. (2022). MSC: 55-06 18-06 55P91 55N91 55U35 00B25 PDFBibTeX XMLCite \textit{S. Balchin} (ed.) et al., Equivariant topology and derived algebra. Based on the conference, Trondheim, Norway, 2019. In honour of Professor J. P. C. Greenlees' 60th birthday. Cambridge: Cambridge University Press (2022; Zbl 1476.55006) Full Text: DOI
Miller, Haynes Lectures on algebraic topology. (English) Zbl 1497.55001 Hackensack, NJ: World Scientific (ISBN 978-981-12-3124-7/hbk; 978-981-12-3285-5/pbk; 978-981-12-3126-1/ebook). xi, 392 p. (2022). Reviewer: Geoffrey Powell (Angers) MSC: 55-01 PDFBibTeX XMLCite \textit{H. Miller}, Lectures on algebraic topology. Hackensack, NJ: World Scientific (2022; Zbl 1497.55001) Full Text: DOI
Guillot, Pierre Lessons on homology and the fundamental group. (Leçons sur l’homologie et le groupe fondamental.) (French) Zbl 1512.55001 Cours Spécialisés (Paris) 29. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-965-4/hbk). xiv, 314 p. (2021). Reviewer: Jean-Claude Thomas (Angers) MSC: 55-01 PDFBibTeX XMLCite \textit{P. Guillot}, Leçons sur l'homologie et le groupe fondamental. Paris: Société Mathématique de France (SMF) (2021; Zbl 1512.55001)
Achar, Pramod N. Perverse sheaves and applications to representation theory. (English) Zbl 1524.14001 Mathematical Surveys and Monographs 258. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5597-2/pbk; 978-1-4704-6668-8/ebook). xii, 562 p. (2021). Reviewer: Mee Seong Im (Annapolis) MSC: 14-02 16-02 20-02 14F06 14F43 16G20 20Gxx PDFBibTeX XMLCite \textit{P. N. Achar}, Perverse sheaves and applications to representation theory. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1524.14001) Full Text: DOI
Galaz-García, Fernando (ed.); González-Tokman, Cecilia (ed.); Pardo Millán, Juan Carlos (ed.) Mexican mathematicians in the world. Trends and recent contributions. IV meeting. Reunión de matemáticos mexicanos en el mundo, Casa Matemática Oaxaca, Oaxaca, Mexico, June 10–15, 2018. (English) Zbl 1495.53005 Contemporary Mathematics 775; Aportaciones Matemáticas. Providence, RI: American Mathematical Society (AMS); México: Sociedad Matemática Mexicana (ISBN 978-1-4704-6536-0/pbk; 978-1-4704-6728-9/ebook). xiv, 319 p. (2021). MSC: 53-06 53Cxx 83Cxx 46Lxx 37Axx 55Pxx 35Cxx 47Axx 17Bxx 11Fxx 22Exx 00B25 PDFBibTeX XMLCite \textit{F. Galaz-García} (ed.) et al., Mexican mathematicians in the world. Trends and recent contributions. IV meeting. Reunión de matemáticos mexicanos en el mundo, Casa Matemática Oaxaca, Oaxaca, Mexico, June 10--15, 2018. Providence, RI: American Mathematical Society (AMS); México: Sociedad Matemática Mexicana (2021; Zbl 1495.53005) Full Text: DOI
Vershik, Anatoly M. (ed.); Buchstaber, Victor M. (ed.); Malyutin, Andrey V. (ed.) Conference on topology, geometry, and dynamics. V. A. Rokhlin-100. The Euler International Mathematical Institute and Steklov Institute of Mathematics, St. Petersburg, Russia, August 19–23, 2019. (English) Zbl 1492.57002 Contemporary Mathematics 772. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5664-1/pbk; 978-1-4704-6451-6/ebook). x, 345 p. (2021). MSC: 57-06 55-XX 57-XX 14-XX 11K50 11K55 22D40 37Axx 47A35 37-XX 60Fxx 60G10 53C65 60D05 57K10 19Lxx 18F25 57Txx 14L05 19L41 57R75 57R77 57R85 57R90 00B25 00B30 PDFBibTeX XMLCite \textit{A. M. Vershik} (ed.) et al., Conference on topology, geometry, and dynamics. V. A. Rokhlin-100. The Euler International Mathematical Institute and Steklov Institute of Mathematics, St. Petersburg, Russia, August 19--23, 2019. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1492.57002) Full Text: DOI
Positselski, Leonid Relative nonhomogeneous Koszul duality. (English) Zbl 1510.16001 Frontiers in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-89539-6/pbk; 978-3-030-89540-2/ebook). xxix, 278 p. (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 16-02 16S37 16E35 16E45 16S32 16W50 55P20 55U35 PDFBibTeX XMLCite \textit{L. Positselski}, Relative nonhomogeneous Koszul duality. Cham: Birkhäuser (2021; Zbl 1510.16001) Full Text: DOI arXiv
Heuts, Gijs Goodwillie approximations to higher categories. (English) Zbl 1479.55001 Memoirs of the American Mathematical Society 1333. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4893-6/pbk; 978-1-4704-6749-4/ebook). xi, 108 p. (2021). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 55-02 55P99 55P15 55P48 55P65 55U35 55U40 18N10 18F50 PDFBibTeX XMLCite \textit{G. Heuts}, Goodwillie approximations to higher categories. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1479.55001) Full Text: DOI arXiv Link
Ben-Zvi, David; Calaque, Damien; Grivaux, Julien; Mann, Étienne; Nadler, David; Pantev, Tony; Robalo, Marco; Safronov, Pavel; Vezzosi, Gabriele Derived algebraic geometry. (English) Zbl 1471.14005 Panoramas et Synthèses 55. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-938-8/pbk). xvi, 230 p. (2021). MSC: 14-06 18-01 18-06 14A30 13D03 13D10 14C40 14D23 14F08 14A20 14B10 14D15 14D20 14N35 17B63 18M50 18G80 53D17 55U40 00B15 18N10 PDFBibTeX XMLCite \textit{D. Ben-Zvi} et al., Derived algebraic geometry. Paris: Société Mathématique de France (SMF) (2021; Zbl 1471.14005)
Bachmann, Tom; Hoyois, Marc Norms in motivic homotopy theory. (English) Zbl 1522.14028 Astérisque 425. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-939-5/pbk). ix, 207 p. (2021). Reviewer: Peng Du (Nottingham) MSC: 14F42 19E15 14C25 14-02 PDFBibTeX XMLCite \textit{T. Bachmann} and \textit{M. Hoyois}, Norms in motivic homotopy theory. Paris: Société Mathématique de France (SMF) (2021; Zbl 1522.14028) Full Text: DOI arXiv
Borges, Carlos R. Elementary topology and applications. 2nd edition. (English) Zbl 1469.54001 Singapore: World Scientific (ISBN 978-981-12-3742-3/hbk; 978-981-12-3744-7 /ebook). xii, 161 p. (2021). MSC: 54-01 PDFBibTeX XMLCite \textit{C. R. Borges}, Elementary topology and applications. 2nd edition. Singapore: World Scientific (2021; Zbl 1469.54001) Full Text: DOI
Tamaki, Dai Fiber bundles and homotopy. (English) Zbl 1477.55001 Hackensack, NJ: World Scientific (ISBN 978-981-12-3799-7/hbk; 978-981-12-3810-9/ebook). xii, 324 p. (2021). Reviewer: Marek Golasiński (Olsztyn) MSC: 55-02 55P15 18N50 55R05 PDFBibTeX XMLCite \textit{D. Tamaki}, Fiber bundles and homotopy. Hackensack, NJ: World Scientific (2021; Zbl 1477.55001) Full Text: DOI
Balchin, Scott A handbook of model categories. (English) Zbl 1486.18001 Algebra and Applications 27. Cham: Springer (ISBN 978-3-030-75034-3/hbk; 978-3-030-75037-4/pbk; 978-3-030-75035-0/ebook). xv, 326 p. (2021). Reviewer: Haydar Can Kaya (İstanbul) MSC: 18-01 18N40 PDFBibTeX XMLCite \textit{S. Balchin}, A handbook of model categories. Cham: Springer (2021; Zbl 1486.18001) Full Text: DOI
Arabia, Alberto Equivariant Poincaré duality on \(G\)-manifolds. Equivariant Gysin morphism and equivariant Euler classes. (English) Zbl 1473.55001 Lecture Notes in Mathematics 2288. Cham: Springer (ISBN 978-3-030-70439-1/pbk; 978-3-030-70440-7/ebook). xv, 376 p. (2021). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55-02 55Rxx 55P91 PDFBibTeX XMLCite \textit{A. Arabia}, Equivariant Poincaré duality on \(G\)-manifolds. Equivariant Gysin morphism and equivariant Euler classes. Cham: Springer (2021; Zbl 1473.55001) Full Text: DOI
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. Equivariant stable homotopy theory and the Kervaire invariant problem. (English) Zbl 1484.55001 New Mathematical Monographs 40. Cambridge: Cambridge University Press (ISBN 978-1-108-83144-4/hbk; 978-1-108-91727-8/ebook). ix, 870 p. (2021). Reviewer: Constanze Roitzheim (Canterbury) MSC: 55-02 55P42 PDFBibTeX XMLCite \textit{M. A. Hill} et al., Equivariant stable homotopy theory and the Kervaire invariant problem. Cambridge: Cambridge University Press (2021; Zbl 1484.55001) Full Text: DOI
Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel Lie models in topology. (English) Zbl 1469.55001 Progress in Mathematics 335. Cham: Birkhäuser (ISBN 978-3-030-54429-4/hbk; 978-3-030-54432-4/pbk; 978-3-030-54430-0/ebook). ix, 299 p. (2020). Reviewer: Samuel Smith (Philadelphia) MSC: 55-02 55P62 PDFBibTeX XMLCite \textit{U. Buijs} et al., Lie models in topology. Cham: Birkhäuser (2020; Zbl 1469.55001) Full Text: DOI
Tanaka, Hiro Lee [Amabel, Araminta; Kalmykov, Artem; Müller, Lukas] Lectures on factorization homology, \(\infty\)-categories, and topological field theories. With contributions by Araminta Amabel, Artem Kalmykov and Lukas Müller. (English) Zbl 07284245 SpringerBriefs in Mathematical Physics 39. Cham: Springer (ISBN 978-3-030-61162-0/pbk; 978-3-030-61163-7/ebook). xii, 84 p. (2020). Reviewer: Daniel Moskovich (Beer-Sheva) MSC: 55-02 18-02 18M20 18Nxx 57R90 81R50 18A40 PDFBibTeX XMLCite \textit{H. L. Tanaka}, Lectures on factorization homology, \(\infty\)-categories, and topological field theories. With contributions by Araminta Amabel, Artem Kalmykov and Lukas Müller. Cham: Springer (2020; Zbl 07284245) Full Text: DOI arXiv
Muñoz, Vicente; González-Prieto, Ángel; Rojo, Juan Ángel Geometry and topology of manifolds. Surfaces and beyond. (English) Zbl 1455.57002 Graduate Studies in Mathematics 208. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME) (ISBN 978-1-4704-6132-4/pbk; 978-1-4704-6162-1/ebook). x, 408 p. (2020). Reviewer: Bruno Zimmermann (Trieste) MSC: 57-02 53-02 55-02 30Fxx 53Cxx PDFBibTeX XMLCite \textit{V. Muñoz} et al., Geometry and topology of manifolds. Surfaces and beyond. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME) (2020; Zbl 1455.57002) Full Text: DOI
Kozlov, Dmitry N. Organized collapse. An introduction to discrete Morse theory. (English) Zbl 1455.57001 Graduate Studies in Mathematics 207. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5701-3/hbk; 978-1-4704-6008-2/ebook). xxiii, 312 p. (2020). Reviewer: Matthew Zaremsky (Albany) MSC: 57-02 57Q70 55N31 57Q10 05C70 06A07 55U10 57Q05 58E05 PDFBibTeX XMLCite \textit{D. N. Kozlov}, Organized collapse. An introduction to discrete Morse theory. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1455.57001) Full Text: DOI
Doubek, Martin; Jurčo, Branislav; Markl, Martin; Sachs, Ivo Algebraic structure of string field theory. (English) Zbl 1459.81002 Lecture Notes in Physics 973. Cham: Springer (ISBN 978-3-030-53054-9/pbk; 978-3-030-53056-3/ebook). xi, 221 p. (2020). Reviewer: Farhang Loran (Isfahan) MSC: 81-02 81T30 81R15 18M60 14F42 55P40 14D21 PDFBibTeX XMLCite \textit{M. Doubek} et al., Algebraic structure of string field theory. Cham: Springer (2020; Zbl 1459.81002) Full Text: DOI
Balmer, Paul; Dell’Ambrogio, Ivo Mackey 2-functors and Mackey 2-motives. (English) Zbl 1464.18021 EMS Monographs in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-209-2/hbk; 978-3-03719-709-7/ebook). viii, 227 p. (2020). Reviewer: Daniel Juan Pineda (Michoacán) MSC: 18N40 19A22 18B40 18M30 20J05 55P91 18N10 18N25 PDFBibTeX XMLCite \textit{P. Balmer} and \textit{I. Dell'Ambrogio}, Mackey 2-functors and Mackey 2-motives. Zürich: European Mathematical Society (EMS) (2020; Zbl 1464.18021) Full Text: DOI arXiv
Rosenberg, Harold; Smith, Graham Degree theory of immersed hypersurfaces. (English) Zbl 1448.53003 Memoirs of the American Mathematical Society 1290. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4185-2/pbk; 978-1-4704-6148-5/ebook). v, 62 p. (2020). Reviewer: Nicolas Ginoux (Metz) MSC: 53-02 53C42 58D10 58D17 58B05 58C40 58J05 PDFBibTeX XMLCite \textit{H. Rosenberg} and \textit{G. Smith}, Degree theory of immersed hypersurfaces. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1448.53003) Full Text: DOI arXiv
Binda, Federico (ed.); Levine, Marc (ed.); Nguyen, Manh Toan (ed.); Röndigs, Oliver (ed.) Motivic homotopy theory and refined enumerative geometry. Workshop, Universität Duisburg-Essen, Essen, Germany, May 14–18, 2018. (English) Zbl 1435.14021 Contemporary Mathematics 745. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4898-1/pbk; 978-1-4704-5455-5/ebook). xv, 267 p. (2020). MSC: 14F42 14N99 00B25 PDFBibTeX XMLCite \textit{F. Binda} (ed.) et al., Motivic homotopy theory and refined enumerative geometry. Workshop, Universität Duisburg-Essen, Essen, Germany, May 14--18, 2018. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1435.14021) Full Text: DOI
Kahn, Bruno Zeta and \(L\)-functions of varieties and motives. Translated from the French. (English) Zbl 1502.14003 London Mathematical Society Lecture Note Series 462. Cambridge: Cambridge University Press (ISBN 978-1-108-70339-0/pbk; 978-1-108-69153-6/ebook). viii, 208 p. (2020). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14-02 11-02 11G40 11M38 11R42 11R59 14F30 14F42 14G10 19F27 PDFBibTeX XMLCite \textit{B. Kahn}, Zeta and \(L\)-functions of varieties and motives. Translated from the French. Cambridge: Cambridge University Press (2020; Zbl 1502.14003) Full Text: DOI
Barnes, David; Roitzheim, Constanze Foundations of stable homotopy theory. (English) Zbl 1481.55003 Cambridge Studies in Advanced Mathematics 185. Cambridge: Cambridge University Press (ISBN 978-1-108-48278-3/hbk; 978-1-108-63657-5/ebook). vi, 423 p. (2020). Reviewer: Julie Bergner (Riverside) MSC: 55-02 55P42 55P43 55P60 55U35 18N40 18N55 PDFBibTeX XMLCite \textit{D. Barnes} and \textit{C. Roitzheim}, Foundations of stable homotopy theory. Cambridge: Cambridge University Press (2020; Zbl 1481.55003) Full Text: DOI
Saha Ray, Santanu Nonlinear differential equations in physics. Novel methods for finding solutions. (English) Zbl 1445.35010 Singapore: Springer (ISBN 978-981-15-1655-9/hbk; 978-981-15-1656-6/ebook). xxxi, 388 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35-02 34-02 65-02 35R11 35C05 PDFBibTeX XMLCite \textit{S. Saha Ray}, Nonlinear differential equations in physics. Novel methods for finding solutions. Singapore: Springer (2020; Zbl 1445.35010) Full Text: DOI
Douady, Adrien; Douady, Régine Algebra and Galois theories. Translated from the French by Urmie Ray. (English) Zbl 1459.11001 Cham: Springer (ISBN 978-3-030-32795-8/hbk; 978-3-030-32796-5/ebook). xxiii, 462 p. (2020). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 11-01 12-01 15-01 18-01 55-01 12F10 14E20 14F35 14H30 PDFBibTeX XMLCite \textit{A. Douady} and \textit{R. Douady}, Algebra and Galois theories. Translated from the French by Urmie Ray. Cham: Springer (2020; Zbl 1459.11001) Full Text: DOI
Miller, Haynes (ed.) Handbook of homotopy theory. (English) Zbl 1468.55001 CRC Press/Chapman and Hall Handbooks in Mathematics Series. Boca Raton, FL: CRC Press (ISBN 978-0-8153-6970-7/hbk; 978-1-351-25162-4/ebook). vii, 982 p. (2020). Reviewer: Geoffrey Powell (Angers) MSC: 55-00 55Pxx 00B15 PDFBibTeX XMLCite \textit{H. Miller} (ed.), Handbook of homotopy theory. Boca Raton, FL: CRC Press (2020; Zbl 1468.55001) Full Text: DOI Link
Tu, Loring W. [Arabia, Alberto] Introductory lectures on equivariant cohomology. With appendices by the author and Alberto Arabia. (English) Zbl 1445.55001 Annals of Mathematics Studies 204. Princeton, NJ: Princeton University Press (ISBN 978-0-691-19174-4/hbk; 978-0-691-19175-1/pbk; 978-0-691-19748-7/ebook). xx, 315 p. (2020). Reviewer: Marek Golasiński (Olsztyn) MSC: 55-01 55N25 55N91 55P91 55Q91 55R91 55S91 57R91 PDFBibTeX XMLCite \textit{L. W. Tu}, Introductory lectures on equivariant cohomology. With appendices by the author and Alberto Arabia. Princeton, NJ: Princeton University Press (2020; Zbl 1445.55001) Full Text: DOI
Recktenwald, René Construction of six functor formalisms. (English) Zbl 1435.18001 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). i, 128 p. (2019). MSC: 18-02 55-02 55U35 18G80 18D30 14F08 PDFBibTeX XMLCite \textit{R. Recktenwald}, Construction of six functor formalisms. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2019; Zbl 1435.18001) Full Text: DOI Link
Srinivas, V. (ed.); Roushon, S. K. (ed.); Rao, Ravi A. (ed.); Parameswaran, A. J. (ed.); Krishna, A. (ed.) \(K\)-theory. Proceedings of the international colloquium, Mumbai, 2016. (English) Zbl 1435.19001 Studies in Mathematics. Tata Institute of Fundamental Research 23. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (ISBN 978-93-86279-74-3/hbk). xxii, 393 p. (2019). MSC: 19-06 19Exx 19Fxx 14F42 00B25 PDFBibTeX XMLCite \textit{V. Srinivas} (ed.) et al., \(K\)-theory. Proceedings of the international colloquium, Mumbai, 2016. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research (2019; Zbl 1435.19001)
Isaksen, Daniel C. Stable stems. (English) Zbl 1454.55001 Memoirs of the American Mathematical Society 1269. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3788-6/pbk; 978-1-4704-5511-8/ebook). viii, 159 p. (2019). Reviewer: Stephen McKean (Durham) MSC: 55-02 14-02 14F42 55Q45 55S10 55T15 16T05 55P42 55Q10 55S30 PDFBibTeX XMLCite \textit{D. C. Isaksen}, Stable stems. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1454.55001) Full Text: DOI arXiv
Scoville, Nicholas A. Discrete Morse theory. (English) Zbl 1433.58002 Student Mathematical Library 90. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5298-8/pbk; 978-1-4704-5379-4/ebook). xiv, 273 p. (2019). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 58-01 58E05 55-01 55U05 55U10 57Q05 57Q10 PDFBibTeX XMLCite \textit{N. A. Scoville}, Discrete Morse theory. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1433.58002) Full Text: DOI
Starbird, Michael; Su, Francis Topology through inquiry. (English) Zbl 1436.54001 AMS/MAA Textbooks 58. Providence, RI: MAA Press/American Mathematical Society (AMS) (ISBN 978-1-4704-5276-6/hbk; 978-1-4704-5532-3/ebook). xiii, 313 p. (2019). Reviewer: Ljubiša D. Kočinac (Niš) MSC: 54-01 55-01 PDFBibTeX XMLCite \textit{M. Starbird} and \textit{F. Su}, Topology through inquiry. Providence, RI: MAA Press/American Mathematical Society (AMS) (2019; Zbl 1436.54001)
Dyckerhoff, Tobias; Kapranov, Mikhail Higher Segal spaces. (English) Zbl 1459.18001 Lecture Notes in Mathematics 2244. Cham: Springer (ISBN 978-3-030-27122-0/pbk; 978-3-030-27124-4/ebook). xv, 218 p. (2019). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18-02 55-02 19-02 55U35 19D10 05E05 05E10 55U10 PDFBibTeX XMLCite \textit{T. Dyckerhoff} and \textit{M. Kapranov}, Higher Segal spaces. Cham: Springer (2019; Zbl 1459.18001) Full Text: DOI arXiv
Davis, Daniel G. (ed.); Henn, Hans-Werner (ed.); Jardine, J. F. (ed.); Johnson, Mark W. (ed.); Rezk, Charles (ed.) Homotopy theory: tools and applications. A conference in honor of Paul Goerss’s 60th birthday, University of Illinois at Urbana-Champaign, Urbana, IL, USA, July 17–21, 2017. (English) Zbl 1419.55001 Contemporary Mathematics 729. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4244-6/pbk; 978-1-4704-5293-3/ebook). xi, 268 p. (2019). MSC: 55-06 18-06 55P43 55N22 55N91 18D50 55Q45 55Q51 55T15 54B40 55U10 55S35 00B25 00B30 PDFBibTeX XMLCite \textit{D. G. Davis} (ed.) et al., Homotopy theory: tools and applications. A conference in honor of Paul Goerss's 60th birthday, University of Illinois at Urbana-Champaign, Urbana, IL, USA, July 17--21, 2017. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1419.55001) Full Text: DOI arXiv
Paoli, Simona Simplicial methods for higher categories. Segal-type models of weak \(n\)-categories. (English) Zbl 1428.18001 Algebra and Applications 26. Cham: Springer (ISBN 978-3-030-05673-5/hbk; 978-3-030-05674-2/ebook). xxii, 343 p. (2019). Reviewer: Gabriella Böhm (Budapest) MSC: 18A05 18-02 18N10 18N40 55-02 55U40 18N50 55P10 55U35 PDFBibTeX XMLCite \textit{S. Paoli}, Simplicial methods for higher categories. Segal-type models of weak \(n\)-categories. Cham: Springer (2019; Zbl 1428.18001) Full Text: DOI
Haesemeyer, Christian; Weibel, Charles A. The norm residue theorem in motivic cohomology. (English) Zbl 1433.14001 Annals of Mathematics Studies 200. Princeton, NJ: Princeton University Press (ISBN 978-0-691-18182-0/hbk; 978-0-691-19104-1/pbk; 978-0-691-18963-5/ebook). xvi, 299 p. (2019). Reviewer: Fangzhou Jin (Essen) MSC: 14-02 14F42 14F20 PDFBibTeX XMLCite \textit{C. Haesemeyer} and \textit{C. A. Weibel}, The norm residue theorem in motivic cohomology. Princeton, NJ: Princeton University Press (2019; Zbl 1433.14001) Full Text: DOI
Peterson, Eric [Stapleton, Nathaniel; Hopkins, Michael; Ando, Matthew] Formal geometry and bordism operations. With appendices by Nathaniel Stapleton and Michael Hopkins. (English) Zbl 1505.55001 Cambridge Studies in Advanced Mathematics 177. Cambridge: Cambridge University Press (ISBN 978-1-108-42803-3/hbk; 978-1-108-55216-5/ebook). xiv, 405 p. (2019). Reviewer: Tobias Barthel (Bonn) MSC: 55-02 14-02 55P42 14A20 55N22 55N34 14F35 55P50 PDFBibTeX XMLCite \textit{E. Peterson}, Formal geometry and bordism operations. With appendices by Nathaniel Stapleton and Michael Hopkins. Cambridge: Cambridge University Press (2019; Zbl 1505.55001) Full Text: DOI
Sun, Jian-Qiao; Xiong, Fu-Rui; Schütze, Oliver; Hernández, Carlos Cell mapping methods. Algorithmic approaches and applications. (English) Zbl 1415.37005 Singapore: Springer (ISBN 978-981-13-0456-9/hbk; 978-981-13-0457-6/ebook). xv, 226 p. (2019). MSC: 37-02 37M99 34D45 65H20 68W40 90C29 PDFBibTeX XMLCite \textit{J.-Q. Sun} et al., Cell mapping methods. Algorithmic approaches and applications. Singapore: Springer (2019; Zbl 1415.37005) Full Text: DOI
Hartmann, Elisa Coarse cohomology with twisted coefficients. (English) Zbl 1437.55001 Göttingen: Univ. Göttingen (Diss.). 89 p. (2018). MSC: 55-02 57-02 55N30 PDFBibTeX XMLCite \textit{E. Hartmann}, Coarse cohomology with twisted coefficients. Göttingen: Univ. Göttingen (Diss.) (2018; Zbl 1437.55001) Full Text: Link Link
Chataur, David; Saralegi-Aranguren, Martintxo; Tanré, Daniel Intersection cohomology. Simplicial blow-up and rational homotopy. (English) Zbl 1418.55003 Memoirs of the American Mathematical Society 1214. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2887-7/print; 978-1-4704-4744-1/ebook). viii, 112 p. (2018). Reviewer: Dirk Schuetz (Durham) MSC: 55N33 55P62 57N80 55-02 PDFBibTeX XMLCite \textit{D. Chataur} et al., Intersection cohomology. Simplicial blow-up and rational homotopy. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1418.55003) Full Text: DOI arXiv
Ayala, David (ed.); Freed, Daniel S. (ed.); Grady, Ryan E. (ed.) Topology and quantum theory in interaction. NSF-CBMS regional conference in the mathematical sciences: topological and geometric methods in QFT, Montana State University, Bozeman, MT, USA, July 31 – August 4, 2017. Proceedings. (English) Zbl 1404.81009 Contemporary Mathematics 718. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4243-9/pbk; 978-1-4704-4941-4/ebook). xi, 258 p. (2018). MSC: 81-06 81Txx 81S40 55Q10 53C44 18D05 00B25 PDFBibTeX XMLCite \textit{D. Ayala} (ed.) et al., Topology and quantum theory in interaction. NSF-CBMS regional conference in the mathematical sciences: topological and geometric methods in QFT, Montana State University, Bozeman, MT, USA, July 31 -- August 4, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1404.81009) Full Text: DOI
Welsch, Cora B. A. On coset posets, nerve complexes and subgroup graphs of finitely generated groups. (English) Zbl 1397.20002 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). xi, 108 p. (2018). MSC: 20-02 20F05 05C25 05E15 20E07 20E05 55P15 55U10 06A07 PDFBibTeX XMLCite \textit{C. B. A. Welsch}, On coset posets, nerve complexes and subgroup graphs of finitely generated groups. Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.) (2018; Zbl 1397.20002) Full Text: Link
Schwede, Stefan Global homotopy theory. (English) Zbl 1451.55001 New Mathematical Monographs 34. Cambridge: Cambridge University Press (ISBN 978-1-108-42581-0/hbk; 978-1-108-34916-1/ebook). xviii, 828 p. (2018). Reviewer: Steffen Sagave (Nijmegen) MSC: 55-02 55P91 55P42 55P43 19L47 PDFBibTeX XMLCite \textit{S. Schwede}, Global homotopy theory. Cambridge: Cambridge University Press (2018; Zbl 1451.55001) Full Text: DOI arXiv
Kitchloo, Nitya (ed.); Merling, Mona (ed.); Morava, Jack (ed.); Riehl, Emily (ed.); Wilson, W. Stephen (ed.) New directions in homotopy theory. Second Mid-Atlantic Topology Conference, Johns Hopkins University, Baltimore, MD, USA, March 12–13, 2016. Proceedings. (English) Zbl 1394.55002 Contemporary Mathematics 707. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3774-9/hbk; 978-1-4704-4772-4/ebook). ix, 194 p. (2018). MSC: 55-06 55Pxx 55Rxx 14-06 14Fxx 18-06 18Dxx 00B25 PDFBibTeX XMLCite \textit{N. Kitchloo} (ed.) et al., New directions in homotopy theory. Second Mid-Atlantic Topology Conference, Johns Hopkins University, Baltimore, MD, USA, March 12--13, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1394.55002) Full Text: DOI
Ausoni, Christian (ed.); Hess, Kathryn (ed.); Johnson, Brenda (ed.); Moerdijk, Ieke (ed.); Scherer, Jérôme (ed.) An alpine bouquet of algebraic topology. Alpine algebraic and applied topology conference, Saas-Almagell, Switzerland, August 15–21, 2016. Proceedings. (English) Zbl 1392.55001 Contemporary Mathematics 708. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2911-9/pbk; 978-1-4704-4774-8/ebook). xi, 308 p. (2018). MSC: 55-06 55Nxx 55Pxx 55Sxx 55Uxx 57Nxx 11S40 14F43 00B25 PDFBibTeX XMLCite \textit{C. Ausoni} (ed.) et al., An alpine bouquet of algebraic topology. Alpine algebraic and applied topology conference, Saas-Almagell, Switzerland, August 15--21, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1392.55001) Full Text: DOI
Ault, Shaun V. Understanding topology. A practical introduction. (English) Zbl 1392.54001 Baltimore, MD: Johns Hopkins University Press (ISBN 978-1-4214-2407-1/hbk; 978-1-4214-2408-8/ebook). x, 399 p. (2018). Reviewer: Marek Golasiński (Olsztyn) MSC: 54-01 05-01 55-01 57-01 PDFBibTeX XMLCite \textit{S. V. Ault}, Understanding topology. A practical introduction. Baltimore, MD: Johns Hopkins University Press (2018; Zbl 1392.54001)
Grant, Mark (ed.); Lupton, Gregory (ed.); Vandembroucq, Lucile (ed.) Topological complexity and related topics. Mini-workshop on topological complexity and related topics, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, February 28 – March 5, 2016. Proceedings. (English) Zbl 1384.55001 Contemporary Mathematics 702. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3436-6/pbk; 978-1-4704-4405-1/ebook). vii, 176 p. (2018). MSC: 55-06 55P62 55P91 55Q25 57M15 20F36 00B25 PDFBibTeX XMLCite \textit{M. Grant} (ed.) et al., Topological complexity and related topics. Mini-workshop on topological complexity and related topics, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, February 28 -- March 5, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1384.55001) Full Text: DOI
Bergner, Julia E. The homotopy theory of \((\infty,1)\)-categories. (English) Zbl 1396.18001 London Mathematical Society Student Texts 90. Cambridge: Cambridge University Press (ISBN 978-1-107-10136-4/hbk; 978-1-107-49902-7/pbk; 978-1-316-18187-4/ebook). xiv, 273 p. (2018). Reviewer: Najib Idrissi (Paris) MSC: 18-02 18D05 55U40 PDFBibTeX XMLCite \textit{J. E. Bergner}, The homotopy theory of \((\infty,1)\)-categories. Cambridge: Cambridge University Press (2018; Zbl 1396.18001) Full Text: DOI
Mainzer, Klaus The digital and the real world. Computational foundations of mathematics, science, technology, and philosophy. With booklet ‘Supplements and corrections’. (English) Zbl 1411.68007 Hackensack, NJ: World Scientific (ISBN 978-981-3225-48-0/hbk; 978-981-3225-50-3/ebook). x, 460 p., 16 p./booklet (2018). Reviewer: Manfred Kerber (Birmingham) MSC: 68-02 03-02 00A05 03B70 68Qxx PDFBibTeX XMLCite \textit{K. Mainzer}, The digital and the real world. Computational foundations of mathematics, science, technology, and philosophy. With booklet `Supplements and corrections'. Hackensack, NJ: World Scientific (2018; Zbl 1411.68007) Full Text: DOI
Darby, Alastair (ed.); Grbić, Jelena (ed.); Lü, Zhi (ed.); Wu, Jie (ed.) Combinatorial and Toric homotopy. Introductory lectures. Based on the program “Combinatorial and Toric Homotopy”, held at the National University of Singapore’s Institute for Mathematical Sciences (IMS), August 1–31, 2015. (English) Zbl 1382.55001 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 35. Hackensack, NJ: World Scientific (ISBN 978-981-3226-56-2/hbk; 978-981-3226-58-6/ebook). xii, 435 p. (2018). MSC: 55-06 55P99 55Q15 14M25 00B25 PDFBibTeX XMLCite \textit{A. Darby} (ed.) et al., Combinatorial and Toric homotopy. Introductory lectures. Based on the program ``Combinatorial and Toric Homotopy'', held at the National University of Singapore's Institute for Mathematical Sciences (IMS), August 1--31, 2015. Hackensack, NJ: World Scientific (2018; Zbl 1382.55001) Full Text: DOI
Tillmann, Steffen Topics in manifold calculus. (English) Zbl 1398.55001 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). vi, 94 p. (2017). MSC: 55-02 55U10 55P48 57N65 55P65 PDFBibTeX XMLCite \textit{S. Tillmann}, Topics in manifold calculus. Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.) (2017; Zbl 1398.55001)
Sommer, Oliver Carsten The diffeomorphism group of an exotic sphere. (English) Zbl 1393.57003 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). vii, 107 p. (2017). MSC: 57-02 57S05 57R50 57R60 PDFBibTeX XMLCite \textit{O. C. Sommer}, The diffeomorphism group of an exotic sphere. Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.) (2017; Zbl 1393.57003) Full Text: Link Link
Crabb, Michael; Ranicki, Andrew The geometric Hopf invariant and surgery theory. (English) Zbl 1404.55001 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-319-71305-2/hbk; 978-3-319-71306-9/ebook). xvi, 397 p. (2017). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55-02 55Q10 55Q25 57R65 57R67 PDFBibTeX XMLCite \textit{M. Crabb} and \textit{A. Ranicki}, The geometric Hopf invariant and surgery theory. Cham: Springer (2017; Zbl 1404.55001) Full Text: DOI arXiv
Biedermann, Georg; Raptis, Georgios; Stelzer, Manfred The realization space of an unstable coalgebra. (English) Zbl 1394.55001 Astérisque 393. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-868-8/pbk). viii, 148 p. (2017). Reviewer: David Blanc (Haifa) MSC: 55-02 55S10 55S35 55N10 55N35 55U10 55P62 55P20 PDFBibTeX XMLCite \textit{G. Biedermann} et al., The realization space of an unstable coalgebra. Paris: Société Mathématique de France (SMF) (2017; Zbl 1394.55001) Full Text: arXiv
Han, Jung Hoon Skyrmions in condensed matter. (English) Zbl 1386.81006 Springer Tracts in Modern Physics 278. Cham: Springer (ISBN 978-3-319-69244-9/hbk; 978-3-319-69246-3/ebook). xv, 177 p. (2017). Reviewer: T. C. Mohan (Chennai) MSC: 81-02 81V25 82-02 76A20 82D40 PDFBibTeX XMLCite \textit{J. H. Han}, Skyrmions in condensed matter. Cham: Springer (2017; Zbl 1386.81006) Full Text: DOI
Hamilton, Mark J. D. Mathematical gauge theory. With applications to the standard model of particle physics. (English) Zbl 1390.81005 Universitext. Cham: Springer (ISBN 978-3-319-68438-3/pbk; 978-3-319-68439-0/ebook). xviii, 657 p. (2017). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 81-02 81T13 53C07 81T40 81V22 55Q91 81R25 81T18 70S05 81R40 PDFBibTeX XMLCite \textit{M. J. D. Hamilton}, Mathematical gauge theory. With applications to the standard model of particle physics. Cham: Springer (2017; Zbl 1390.81005) Full Text: DOI
Nosaka, Takefumi Quandles and topological pairs. Symmetry, knots, and cohomology. (English) Zbl 1411.57001 SpringerBriefs in Mathematics. Singapore: Springer (ISBN 978-981-10-6792-1/pbk; 978-981-10-6793-8/ebook). ix, 136 p. (2017). Reviewer: Sam Nelson (Claremont) MSC: 57-02 57M25 57M27 57Q45 PDFBibTeX XMLCite \textit{T. Nosaka}, Quandles and topological pairs. Symmetry, knots, and cohomology. Singapore: Springer (2017; Zbl 1411.57001) Full Text: DOI
Kelly, Shane Voevodsky motives and \(l\)dh-descent. (English) Zbl 1386.14003 Astérisque 391. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-861-9/pbk). 125 p. (2017). Reviewer: Tom Bachmann (Essen) MSC: 14-02 14F20 14F42 14F43 14F35 14C15 18E30 19E15 PDFBibTeX XMLCite \textit{S. Kelly}, Voevodsky motives and \(l\)dh-descent. Paris: Société Mathématique de France (SMF) (2017; Zbl 1386.14003)
Lin, Huaxin From the basic homotopy lemma to the classification of \(C^*\)-algebras. (English) Zbl 1386.46001 CBMS Regional Conference Series in Mathematics 124. Providence, RI: American Mathematical Society (AMS), published for the Conference Board of the Mathematical Sciences (CBMS) (ISBN 978-1-4704-3490-8/pbk; 978-1-4704-4192-0/ebook). vi, 240 p. (2017). Reviewer: Xin Li (London) MSC: 46-01 46L35 46L80 46L05 PDFBibTeX XMLCite \textit{H. Lin}, From the basic homotopy lemma to the classification of \(C^*\)-algebras. Providence, RI: American Mathematical Society (AMS), published for the Conference Board of the Mathematical Sciences (CBMS) (2017; Zbl 1386.46001) Full Text: DOI
Toenniessen, Fridtjof Topology. A primer from the elementary fundamentals to homology and cohomology. (Topologie. Ein Lesebuch von den elementaren Grundlagen bis zur Homologie und Kohomologie.) (German) Zbl 1377.55001 Heidelberg: Springer Spektrum (ISBN 978-3-662-54963-6/pbk; 978-3-662-54964-3/ebook). ix, 553 p. (2017). Reviewer: Werner Kleinert (Berlin) MSC: 55-01 54-01 57-01 00A05 PDFBibTeX XMLCite \textit{F. Toenniessen}, Topologie. Ein Lesebuch von den elementaren Grundlagen bis zur Homologie und Kohomologie. Heidelberg: Springer Spektrum (2017; Zbl 1377.55001) Full Text: DOI
Michel, Françoise; Weber, Claude Higher-dimensional knots according to Michel Kervaire. (English) Zbl 1372.57003 EMS Series of Lectures in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-180-4/pbk; 978-3-03719-680-9/ebook). ix, 134 p. (2017). Reviewer: Inasa Nakamura (Tokyo) MSC: 57-02 57Q45 57R65 32S55 55Q40 PDFBibTeX XMLCite \textit{F. Michel} and \textit{C. Weber}, Higher-dimensional knots according to Michel Kervaire. Zürich: European Mathematical Society (EMS) (2017; Zbl 1372.57003) Full Text: DOI
Forstnerič, Franc Stein manifolds and holomorphic mappings. The homotopy principle in complex analysis. 2nd edition. (English) Zbl 1382.32001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 56. Cham: Springer (ISBN 978-3-319-61057-3/hbk; 978-3-319-61058-0/ebook). xiv, 562 p. (2017). Reviewer: Frank Kutzschebauch MSC: 32-02 32Q28 32A10 PDFBibTeX XMLCite \textit{F. Forstnerič}, Stein manifolds and holomorphic mappings. The homotopy principle in complex analysis. 2nd edition. Cham: Springer (2017; Zbl 1382.32001) Full Text: DOI
Fresse, Benoit Homotopy of operads and Grothendieck-Teichmüller groups. Part 2: The applications of (rational) homotopy theory methods. (English) Zbl 1375.55007 Mathematical Surveys and Monographs 217, 2. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3482-3/hbk; 978-1-4704-3757-2/ebook). xxxv, 704 p. (2017). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P48 18G55 55P10 55P62 57T05 20B27 20F36 PDFBibTeX XMLCite \textit{B. Fresse}, Homotopy of operads and Grothendieck-Teichmüller groups. Part 2: The applications of (rational) homotopy theory methods. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1375.55007) Full Text: DOI
Fresse, Benoit Homotopy of operads and Grothendieck-Teichmüller groups. Part 1: The algebraic theory and its topological background. (English) Zbl 1373.55014 Mathematical Surveys and Monographs 217, 1. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3481-6/hbk; 978-1-4704-3755-8/ebook). xlvi, 532 p. (2017). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P48 18G55 55P10 55P62 57T05 20B27 20F36 PDFBibTeX XMLCite \textit{B. Fresse}, Homotopy of operads and Grothendieck-Teichmüller groups. Part 1: The algebraic theory and its topological background. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1373.55014) Full Text: DOI
Kaufmann, Ralph M.; Ward, Benjamin C. Feynman categories. (English) Zbl 1434.18001 Astérisque 387. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-852-7/pbk). vii, 161 p. (2017). Reviewer: Najib Idrissi (Paris) MSC: 18-02 18M60 18M85 18M05 55U35 55P48 18C15 18D20 18D25 81T18 16T10 16T05 PDFBibTeX XMLCite \textit{R. M. Kaufmann} and \textit{B. C. Ward}, Feynman categories. Paris: Société Mathématique de France (SMF) (2017; Zbl 1434.18001) Full Text: arXiv
Huber, Annette; Müller-Stach, Stefan Periods and Nori motives. (English) Zbl 1369.14001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 65. Cham: Springer (ISBN 978-3-319-50925-9/hbk; 978-3-319-50926-6/ebook). xxiii, 372 p. (2017). Reviewer: Tom Bachmann (Essen) MSC: 14-02 14F40 14F42 14C30 PDFBibTeX XMLCite \textit{A. Huber} and \textit{S. Müller-Stach}, Periods and Nori motives. Cham: Springer (2017; Zbl 1369.14001) Full Text: DOI Backlinks: MO
Zheng, Liancun; Zhang, Xinxin Modeling and analysis of modern fluid problems. (English) Zbl 1396.76001 Mathematics in Science and Engineering. Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-811753-8/pbk; 978-0-12-811759-0/ebook). xii, 467 p. (2017). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76-02 76M45 76A05 76A10 76M25 PDFBibTeX XMLCite \textit{L. Zheng} and \textit{X. Zhang}, Modeling and analysis of modern fluid problems. Amsterdam: Elsevier/Academic Press (2017; Zbl 1396.76001) Full Text: Link
Chakraverty, S.; Tapaswini, Smita; Behera, Diptiranjan Fuzzy differential equations and applications for engineers and scientists. (English) Zbl 1385.34002 Boca Raton, FL: CRC Press (ISBN 978-1-4822-4473-1/hbk; 978-1-4822-4476-2/ebook). xvi, 222 p. (2017). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34-02 34K36 35R13 34A08 34A07 26E50 65Lxx 34A45 PDFBibTeX XMLCite \textit{S. Chakraverty} et al., Fuzzy differential equations and applications for engineers and scientists. Boca Raton, FL: CRC Press (2017; Zbl 1385.34002) Full Text: DOI
Rudolph, Gerd; Schmidt, Matthias Differential geometry and mathematical physics. II: Fibre bundles, topology and gauge fields. (English) Zbl 1364.53001 Theoretical and Mathematical Physics (Cham). Dordrecht: Springer (ISBN 978-94-024-0958-1/hbk; 978-94-024-0959-8/ebook). xv, 830 p. (2017). Reviewer: Pascal Philipp (Exeter) MSC: 53-01 53C05 53C27 53C80 57R22 70S15 81T13 PDFBibTeX XMLCite \textit{G. Rudolph} and \textit{M. Schmidt}, Differential geometry and mathematical physics. II: Fibre bundles, topology and gauge fields. Dordrecht: Springer (2017; Zbl 1364.53001) Full Text: DOI
Hermann, Reiner Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology. (English) Zbl 1397.16008 Mem. Am. Math. Soc. 1151, vi, 149 p. (2016). MSC: 16E40 14F35 16T05 18D10 18E10 18G15 PDFBibTeX XMLCite \textit{R. Hermann}, Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1397.16008) Full Text: DOI arXiv
Pridham, J. P. Real non-abelian mixed Hodge structures for quasi-projective varieties: formality and splitting. (English) Zbl 1376.14014 Mem. Am. Math. Soc. 1150, vi, 182 p. (2016). MSC: 14D07 32S35 55P62 14C30 14F35 PDFBibTeX XMLCite \textit{J. P. Pridham}, Real non-abelian mixed Hodge structures for quasi-projective varieties: formality and splitting. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1376.14014) Full Text: DOI arXiv
Gray, Brayton Abelian properties of Anick spaces. (English) Zbl 1373.55022 Mem. Am. Math. Soc. 1162, vi, 110 p. (2016). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55Q15 55Q20 55Q51 55Q40 55Q52 55R99 PDFBibTeX XMLCite \textit{B. Gray}, Abelian properties of Anick spaces. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1373.55022) Full Text: DOI arXiv
Gollinger, William Madsen-Tillmann-Weiss spectra and a signature problem for manifolds. (English) Zbl 1367.57001 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). x, 63 p. (2016). MSC: 57-02 57R19 PDFBibTeX XMLCite \textit{W. Gollinger}, Madsen-Tillmann-Weiss spectra and a signature problem for manifolds. Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.) (2016; Zbl 1367.57001) Full Text: Link Link
Bubenzer, Paul Homotopy coherent actions on chain complexes and their applications to the Farrell-Jones conjecture. (English) Zbl 1369.19001 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). viii, 107 p. (2016). MSC: 19-02 19D10 19D55 18F25 55-02 55U15 55U35 PDFBibTeX XMLCite \textit{P. Bubenzer}, Homotopy coherent actions on chain complexes and their applications to the Farrell-Jones conjecture. Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.) (2016; Zbl 1369.19001)
Sigloch, Helene Homotopy theory for rigid analytic varieties. (English) Zbl 1469.14002 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik, Mathematisches Institut (Diss.). 114 p. (2016). MSC: 14-02 14G22 14F35 PDFBibTeX XMLCite \textit{H. Sigloch}, Homotopy theory for rigid analytic varieties. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik, Mathematisches Institut (Diss.) (2016; Zbl 1469.14002) Full Text: DOI Link
Voelkel, Konrad Motivic cell structures for projective spaces over split quaternions. (English) Zbl 1357.14002 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). iii, 71 p. (2016). MSC: 14-02 14C15 14F42 PDFBibTeX XMLCite \textit{K. Voelkel}, Motivic cell structures for projective spaces over split quaternions. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2016; Zbl 1357.14002) Full Text: DOI Link
Costenoble, Steven R.; Waner, Stefan Equivariant ordinary homology and cohomology. (English) Zbl 1362.55001 Lecture Notes in Mathematics 2178. Cham: Springer (ISBN 978-3-319-50447-6/pbk; 978-3-319-50448-3/ebook). xiv, 294 p. (2016). Reviewer: Haruo Minami (Nara) MSC: 55-01 55N91 55M05 55N25 55P20 55P42 55P91 55R70 55R91 57R91 PDFBibTeX XMLCite \textit{S. R. Costenoble} and \textit{S. Waner}, Equivariant ordinary homology and cohomology. Cham: Springer (2016; Zbl 1362.55001) Full Text: DOI arXiv