Ludewig, Matthias The Clifford algebra bundle on loop space. (English) Zbl 07819251 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 020, 27 p. (2024). MSC: 15A66 53C27 47C15 46L40 46L10 55R15 PDFBibTeX XMLCite \textit{M. Ludewig}, SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 020, 27 p. (2024; Zbl 07819251) Full Text: DOI arXiv
Maresin, Innocenti; Sergeev, Armen; Teplyakov, Egor On mathematical aspects of the theory of topological insulators. (English) Zbl 07790981 Acta Math. Sin., Engl. Ser. 40, No. 1, 81-106 (2024). MSC: 82D20 82D55 82B20 81V70 81V74 15A66 55R45 35Q55 PDFBibTeX XMLCite \textit{I. Maresin} et al., Acta Math. Sin., Engl. Ser. 40, No. 1, 81--106 (2024; Zbl 07790981) Full Text: DOI
Qian, Chao; Tang, Zizhou; Yan, Wenjiao Topology and curvature of isoparametric families in spheres. (English) Zbl 1525.53032 Commun. Math. Stat. 11, No. 2, 439-475 (2023). Reviewer: Jianquan Ge (Beijing) MSC: 53C12 53A07 53C40 53C42 55M30 57R30 55R25 58E05 15A66 PDFBibTeX XMLCite \textit{C. Qian} et al., Commun. Math. Stat. 11, No. 2, 439--475 (2023; Zbl 1525.53032) Full Text: DOI arXiv
Karoubi, Max Real \(K\)-theories. (English) Zbl 1516.19005 Isr. J. Math. 253, No. 1, 91-99 (2023). Reviewer: Michael Joachim (Münster) MSC: 19L47 55N15 19L50 PDFBibTeX XMLCite \textit{M. Karoubi}, Isr. J. Math. 253, No. 1, 91--99 (2023; Zbl 1516.19005) Full Text: DOI arXiv
Grant, Mark; Schutte, Baylee Projective span of Wall manifolds. arXiv:2311.14107 Preprint, arXiv:2311.14107 [math.AT] (2023). MSC: 57R25 55S40 57R19 15A66 BibTeX Cite \textit{M. Grant} and \textit{B. Schutte}, ``Projective span of Wall manifolds'', Preprint, arXiv:2311.14107 [math.AT] (2023) Full Text: arXiv OA License
Eschenburg, Jost-Hinrich; Hanke, Bernhard Bott-Thom isomorphism, Hopf bundles and Morse theory. (English) Zbl 1480.58002 São Paulo J. Math. Sci. 15, No. 1, 127-174 (2021). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 58D15 15A66 55R10 55R50 58E10 PDFBibTeX XMLCite \textit{J.-H. Eschenburg} and \textit{B. Hanke}, São Paulo J. Math. Sci. 15, No. 1, 127--174 (2021; Zbl 1480.58002) Full Text: DOI arXiv
Epstein, Marcelo Hilbert bundles as quantum-classical continua. (English) Zbl 1503.81015 Math. Mech. Solids 25, No. 6, 1312-1317 (2020). MSC: 81P68 15A66 81Q10 74A05 55R10 32L05 53Z05 PDFBibTeX XMLCite \textit{M. Epstein}, Math. Mech. Solids 25, No. 6, 1312--1317 (2020; Zbl 1503.81015) Full Text: DOI arXiv
Gallier, Jean; Quaintance, Jocelyn Differential geometry and Lie groups. A second course. (English) Zbl 1456.53001 Geometry and Computing 13. Cham: Springer (ISBN 978-3-030-46046-4/hbk; 978-3-030-46047-1/ebook). xiv, 620 p. (2020). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 53-01 22-01 58A10 58C35 33C55 55R10 55R25 15A66 PDFBibTeX XMLCite \textit{J. Gallier} and \textit{J. Quaintance}, Differential geometry and Lie groups. A second course. Cham: Springer (2020; Zbl 1456.53001) Full Text: DOI
Morita, Yosuke Proof of Kobayashi’s rank conjecture on Clifford-Klein forms. (English) Zbl 1479.57079 J. Math. Soc. Japan 71, No. 4, 1153-1171 (2019). Reviewer: Jason DeVito (Martin) MSC: 57S30 17B56 55P62 57T15 PDFBibTeX XMLCite \textit{Y. Morita}, J. Math. Soc. Japan 71, No. 4, 1153--1171 (2019; Zbl 1479.57079) Full Text: DOI arXiv Euclid
Auel, Asher; First, Uriya A.; Williams, Ben Azumaya algebras without involution. (English) Zbl 1441.14072 J. Eur. Math. Soc. (JEMS) 21, No. 3, 897-921 (2019). Reviewer: Charlotte Ure (Charlottesville) MSC: 14F22 16H05 16W10 55R37 16K50 PDFBibTeX XMLCite \textit{A. Auel} et al., J. Eur. Math. Soc. (JEMS) 21, No. 3, 897--921 (2019; Zbl 1441.14072) Full Text: DOI arXiv
Eschenburg, Jost; Hanke, Bernhard Bott periodicity, submanifolds, and vector bundles. (English) Zbl 1394.55013 Suh, Young Jin (ed.) et al., Hermitian-Grassmannian submanifolds. Daegu, Korea, July 2016. Proceedings of the 20th international workshop on Hermitian symmetric spaces and submanifolds, IWHSSS 2016, Daegu, South Korea, July 26–30, 2016. Singapore: Springer (ISBN 978-981-10-5555-3/hbk; 978-981-10-5556-0/ebook). Springer Proceedings in Mathematics & Statistics 203, 295-309 (2017). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55R45 55R50 53C35 53C15 15A66 57R22 57T20 PDFBibTeX XMLCite \textit{J. Eschenburg} and \textit{B. Hanke}, Springer Proc. Math. Stat. 203, 295--309 (2017; Zbl 1394.55013) Full Text: DOI arXiv
Tuschmann, Wilderich; Wraith, David J. Moduli spaces of Riemannian metrics. (English) Zbl 1336.53002 Oberwolfach Seminars 46. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0947-4/pbk; 978-3-0348-0948-1/ebook). x, 123 p. (2015). Reviewer: Peter B. Gilkey (Eugene) MSC: 53-02 53C20 55Q05 57R15 PDFBibTeX XMLCite \textit{W. Tuschmann} and \textit{D. J. Wraith}, Moduli spaces of Riemannian metrics. Basel: Birkhäuser/Springer (2015; Zbl 1336.53002) Full Text: DOI
Lapin, S. V. Homotopy properties of differential Lie modules over curved coalgebras and Koszul duality. (English. Russian original) Zbl 1295.55018 Math. Notes 94, No. 3, 335-350 (2013); translation from Mat. Zametki 94, No. 3, 354-372 (2013). Reviewer: Yutaka Hemmi (Kochi) MSC: 55U30 16S37 PDFBibTeX XMLCite \textit{S. V. Lapin}, Math. Notes 94, No. 3, 335--350 (2013; Zbl 1295.55018); translation from Mat. Zametki 94, No. 3, 354--372 (2013) Full Text: DOI
da Rocha, Roldão; Traesel, Márcio A.; Vaz, Jayme jun. Non-associativity in the Clifford bundle on the parallelizable torsion 7-sphere. (English) Zbl 1254.15028 Adv. Appl. Clifford Algebr. 22, No. 3, 595-610 (2012). MSC: 15A66 11E88 55R25 PDFBibTeX XMLCite \textit{R. da Rocha} et al., Adv. Appl. Clifford Algebr. 22, No. 3, 595--610 (2012; Zbl 1254.15028) Full Text: DOI arXiv
Stone, Michael; Chiu, Ching-Kai; Roy, Abhishek Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clock. (English) Zbl 1209.82049 J. Phys. A, Math. Theor. 44, No. 4, Article ID 045001, 18 p. (2011). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 55R45 15A66 PDFBibTeX XMLCite \textit{M. Stone} et al., J. Phys. A, Math. Theor. 44, No. 4, Article ID 045001, 18 p. (2011; Zbl 1209.82049) Full Text: DOI arXiv
Schott, René; Staples, G. Stacey Operator homology and cohomology in Clifford algebras. (English) Zbl 1217.15035 Cubo 12, No. 2, 299-326 (2010). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 15A66 60B99 81P15 55N99 PDFBibTeX XMLCite \textit{R. Schott} and \textit{G. S. Staples}, Cubo 12, No. 2, 299--326 (2010; Zbl 1217.15035) Full Text: DOI
Kitaev, Alexei Periodic table for topological insulators and superconductors. (English) Zbl 1180.82221 Lebedev, Vladimir V. (ed.) et al., Advances in theoretical physics. Landau memorial conference, Chernogolokova, Russia, 22–26 June 2008. Papers based on the presentations at the international conference “Advances in theoretical physics”. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0671-1/pbk). AIP Conference Proceedings 1134, 22-30 (2009). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 15A66 55R45 PDFBibTeX XMLCite \textit{A. Kitaev}, AIP Conf. Proc. 1134, 22--30 (2009; Zbl 1180.82221) Full Text: arXiv
Chen, Zhuo; Stiénon, Mathieu Dirac generating operators and Manin triples. (English) Zbl 1168.15024 J. Lond. Math. Soc., II. Ser. 79, No. 2, 399-421 (2009). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A66 17B63 17B66 53C15 53D17 55R65 58A10 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{M. Stiénon}, J. Lond. Math. Soc., II. Ser. 79, No. 2, 399--421 (2009; Zbl 1168.15024) Full Text: DOI arXiv
Husemöller, Dale; Joachim, Michael; Jurčo, Branislav; Schottenloher, Martin [Echterhoff, Siegfried; Fredenhagen, Stefan; Krötz, Bernhard] Basic bundle theory and \(K\)-cohomology invariants. With contributions by Siegfried Echterhoff, Stefan Fredenhagen and Bernhard Krötz. (English) Zbl 1135.19001 Lecture Notes in Physics 726. Berlin: Springer (ISBN 978-3-540-74955-4/hbk). xv, 340 p. (2008). Reviewer: Haruo Minami (Nara) MSC: 19-01 19K99 55-01 46M20 14F05 55R10 55N15 19L47 55Q05 57R15 57R20 81T30 18F25 83E30 PDFBibTeX XMLCite \textit{D. Husemöller} et al., Basic bundle theory and \(K\)-cohomology invariants. With contributions by Siegfried Echterhoff, Stefan Fredenhagen and Bernhard Krötz. Berlin: Springer (2008; Zbl 1135.19001)
Meinrenken, E. Clifford algebras and the Duflo isomorphism. (English) Zbl 1020.17007 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press. 637-642 (2002). MSC: 17B35 53D20 17B80 15A66 55N91 PDFBibTeX XMLCite \textit{E. Meinrenken}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 637--642 (2002; Zbl 1020.17007) Full Text: arXiv
Karoubi, Max A descent theorem in topological \(K\)-theory. (English) Zbl 1005.19003 \(K\)-Theory 24, No. 2, 109-114 (2001). Reviewer: Cristian Costinescu (Bucureşti) MSC: 19L99 15A66 55P10 PDFBibTeX XMLCite \textit{M. Karoubi}, \(K\)-Theory 24, No. 2, 109--114 (2001; Zbl 1005.19003) Full Text: DOI arXiv
Munteanu, Ovidiu On the generalized Clifford bundle. (English) Zbl 0972.57017 Differ. Geom. Dyn. Syst. 3, No. 1, 32-36 (2001). MSC: 57R22 15A66 57R15 55R10 PDFBibTeX XMLCite \textit{O. Munteanu}, Differ. Geom. Dyn. Syst. 3, No. 1, 32--36 (2001; Zbl 0972.57017)
Hurley, Donal J.; Vandyck, Michael A. Geometry, spinors and applications. (English) Zbl 0933.53001 London: Springer. Chichester: Praxis Publishing, xvii, 369 p. (2000). Reviewer: J.D.Zund (Las Cruces) MSC: 53-01 15A66 83C60 53C27 55R10 58A10 PDFBibTeX XMLCite \textit{D. J. Hurley} and \textit{M. A. Vandyck}, Geometry, spinors and applications. London: Springer; Chichester: Praxis Publishing (2000; Zbl 0933.53001)
Ławrynowicz, Julian; Suzuki, Osamu The twistor theory of the Hermitian Hurwitz pair \((\mathbb C^4(I_{2,2}), \mathbb R^5(I_{2,3}))\). (English) Zbl 0917.15022 Adv. Appl. Clifford Algebr. 8, No. 1, 147-179 (1998). Reviewer: Wolfgang Sproessig (Freiberg) MSC: 15A66 58A12 55N99 81R25 32L25 PDFBibTeX XMLCite \textit{J. Ławrynowicz} and \textit{O. Suzuki}, Adv. Appl. Clifford Algebr. 8, No. 1, 147--179 (1998; Zbl 0917.15022) Full Text: DOI
Crabb, M. C.; Xu, Kai Quadratic spaces. (English) Zbl 0943.55004 Math. Z. 226, No. 2, 169-180 (1997). MSC: 55P42 57R19 55P60 11T99 57R15 11E88 PDFBibTeX XMLCite \textit{M. C. Crabb} and \textit{K. Xu}, Math. Z. 226, No. 2, 169--180 (1997; Zbl 0943.55004) Full Text: DOI
Nicolaescu, Liviu I. Generalized symplectic geometries and the index of families of elliptic problems. (English) Zbl 0903.35015 Mem. Am. Math. Soc. 609, 80 p. (1997). Reviewer: Z.G.Sheftel’ (Clausthal-Zellerfeld) MSC: 35J15 47A53 58-02 58J20 58J05 15A66 55N15 PDFBibTeX XMLCite \textit{L. I. Nicolaescu}, Generalized symplectic geometries and the index of families of elliptic problems. Providence, RI: American Mathematical Society (AMS) (1997; Zbl 0903.35015) Full Text: DOI
Đurđević, Mićo Classical spinor structures on quantum spaces. (English) Zbl 0840.53017 Abłamowicz, Rafał (ed.) et al., Clifford algebras and spinor structures. A special volume dedicated to the memory of Albert Crumeyrolle (1919-1992). Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 321, 365-377 (1995). Reviewer: J.D.Zund (Las Cruces) MSC: 53C27 46L85 46L87 15A66 17B37 55R65 PDFBibTeX XMLCite \textit{M. Đurđević}, Math. Appl., Dordr. 321, 365--377 (1995; Zbl 0840.53017) Full Text: arXiv
Rees, Elmer G. Linear spaces of real matrices of given rank. (English) Zbl 0830.15010 Adem, Alejandro (ed.) et al., Homotopy theory and its applications. A conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico. Providence, RI: American Mathematical Society. Contemp. Math. 188, 211-221 (1995). MSC: 15A30 15A03 55N15 PDFBibTeX XMLCite \textit{E. G. Rees}, Contemp. Math. 188, 211--221 (1995; Zbl 0830.15010)
Eckmann, Beno Hurwitz-Radon matrices revisited: From effective solution of the Hurwitz matrix equations to Bott periodicity. (English) Zbl 0831.55002 Mislin, Guido (ed.), The Hilton symposium 1993. Topics in topology and group theory. In May of 1993 an international meeting on Algebra and topology was held at the University of Montréal, Canada, in celebration of Peter Hilton’s 70th birthday. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 6, 23-35 (1994). Reviewer: S.Y.Husseini (Madison) MSC: 55M99 55R45 15A24 15A63 57R25 20C15 PDFBibTeX XMLCite \textit{B. Eckmann}, in: The Hilton symposium 1993. Topics in topology and group theory. In May of 1993 an international meeting on Algebra and topology was held at the University of Montréal, Canada, in celebration of Peter Hilton's 70th birthday. Providence, RI: American Mathematical Society. 23--35 (1994; Zbl 0831.55002)
Vanderwinden, A.-J. Totally geodesic spheres in complex Grassmannians and unitary groups. (English) Zbl 0728.55010 Simon Stevin 64, No. 3-4, 285-298 (1990). MSC: 55R45 PDFBibTeX XMLCite \textit{A. J. Vanderwinden}, Simon Stevin 64, No. 3--4, 285--298 (1990; Zbl 0728.55010)
Lundell, Albert T.; Tosa, Yasunari Explicit construction of nontrivial elements for homotopy groups of classical Lie groups. (English) Zbl 0707.22013 J. Math. Phys. 31, No. 6, 1494-1502 (1990). MSC: 22E70 55Q05 81T13 PDFBibTeX XMLCite \textit{A. T. Lundell} and \textit{Y. Tosa}, J. Math. Phys. 31, No. 6, 1494--1502 (1990; Zbl 0707.22013) Full Text: DOI
Lee, Keean; Kang, Sunghee A note on the Clifford modules. (English) Zbl 1273.15026 Commun. Korean Math. Soc. 3, No. 2, 133-141 (1988). MSC: 15A66 55R10 PDFBibTeX XMLCite \textit{K. Lee} and \textit{S. Kang}, Commun. Korean Math. Soc. 3, No. 2, 133--141 (1988; Zbl 1273.15026)
Witten, Edward Quantum field theory, Grassmannians, and algebraic curves. (English) Zbl 0636.22012 Commun. Math. Phys. 113, 529-600 (1987). Reviewer: Sidney Scull (Downsview / Ontario) MSC: 22E55 81T08 81T05 58A25 58J60 81R10 58D30 55R65 PDFBibTeX XMLCite \textit{E. Witten}, Commun. Math. Phys. 113, 529--600 (1987; Zbl 0636.22012) Full Text: DOI
Gilkey, Peter B.; Karoubi, Max K-theory for spherical space forms. (English) Zbl 0615.55007 Topology Appl. 25, 179-184 (1987). MSC: 55N15 18F25 57S25 20C15 PDFBibTeX XMLCite \textit{P. B. Gilkey} and \textit{M. Karoubi}, Topology Appl. 25, 179--184 (1987; Zbl 0615.55007) Full Text: DOI
Kassel, Christian A Künneth formula for the cyclic cohomology of \(\mathbb Z/2\)-graded algebras. (English) Zbl 0586.17006 Math. Ann. 275, 683-699 (1986). Reviewer: Christian Kassel MSC: 17A70 17B56 55U25 15A66 PDFBibTeX XMLCite \textit{C. Kassel}, Math. Ann. 275, 683--699 (1986; Zbl 0586.17006) Full Text: DOI EuDML
Troitskij, E. V. Classifying spaces of a K-functor associated with a \(C^*\)-algebra. (English. Russian original) Zbl 0573.55014 Mosc. Univ. Math. Bull. 40, 111-115 (1985); translation from Vestn. Mosk. Univ., Ser. I 1985, No. 1, 96-98 (1985). Reviewer: L.Maxim MSC: 55R50 55N15 46L05 PDFBibTeX XMLCite \textit{E. V. Troitskij}, Mosc. Univ. Math. Bull. 40, No. 1, 111--115 (1985; Zbl 0573.55014); translation from Vestn. Mosk. Univ., Ser. I 1985, No. 1, 96--98 (1985)
Dupré, M. J.; Gillette, R. M. Banach bundles, Banach modules and automorphisms of \(C^*\)-algebras. (English) Zbl 0536.46048 Research Notes in Mathematics, 92. Boston - London - Melbourne: Pitman Advanced Publishing Program. 111 p. £7.95 (1983). Reviewer: Karl H.Hofmann MSC: 46M20 46-02 46H25 46L40 46L05 55R65 PDFBibTeX XML
Carey, A. L.; O’Brien, D. M. Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index. (English) Zbl 0532.47011 Topology 22, 437-448 (1983). Reviewer: Y.Kato MSC: 47A53 46M20 55Q05 58J22 15A66 PDFBibTeX XMLCite \textit{A. L. Carey} and \textit{D. M. O'Brien}, Topology 22, 437--448 (1983; Zbl 0532.47011) Full Text: DOI
Parker, Monique Orthogonal multiplications in small dimensions. (English) Zbl 0494.58017 Bull. Lond. Math. Soc. 15, 368-372 (1983). MSC: 58E20 57R25 15A66 55Q40 15A99 PDFBibTeX XMLCite \textit{M. Parker}, Bull. Lond. Math. Soc. 15, 368--372 (1983; Zbl 0494.58017) Full Text: DOI
Allard, Jacques; Bahri, Anthony Clifford module invariants of spin bundles. (English) Zbl 0504.55015 Trans. Am. Math. Soc. 274, 193-202 (1982). MSC: 55S25 55Q15 55R25 22E46 20G20 15A66 PDFBibTeX XMLCite \textit{J. Allard} and \textit{A. Bahri}, Trans. Am. Math. Soc. 274, 193--202 (1982; Zbl 0504.55015) Full Text: DOI
Toth, Gabor On the Atiyah-Singer index theorem. (Hungarian) Zbl 0506.55001 Mat. Lapok 29, 97-138 (1981). MSC: 55-02 58-02 57-02 55N10 55N15 55Rxx 57R15 57R19 57R20 57R60 58J20 58J10 PDFBibTeX XMLCite \textit{G. Toth}, Mat. Lapok 29, 97--138 (1981; Zbl 0506.55001)
Kerner, Richard Spinors on fibre bundles and their use in invariant models. (English) Zbl 0453.53006 Differential geometrical methods in mathematical physics, Proc. Conf. Aix-en-Provence and Salamanca 1979, Lect. Notes Math. 836, 349-358 (1980). MSC: 53C27 15A66 55R10 PDFBibTeX XML
Knutson, Donald Characteristic classes of permutation representations, I:The spin of a permutation. (English) Zbl 0463.55011 Studies in Algebraic Topology, Adv. Math., Suppl. Stud. 5, 69-82 (1979). MSC: 55R40 20C30 20C25 20C10 PDFBibTeX XML
Loday, Jean-Louis Multiplicative structures in K-theory. (Structures multiplicatives en K-théorie.) (French) Zbl 0228.55005 C. R. Acad. Sci., Paris, Sér. A 274, 884-887 (1972). MSC: 55N15 15A66 PDFBibTeX XMLCite \textit{J.-L. Loday}, C. R. Acad. Sci., Paris, Sér. A 274, 884--887 (1972; Zbl 0228.55005)
James, I. M. Shear-structures on vector bundles. (English) Zbl 0245.55018 Math. Colloqu. 1969 Sympos. Topol., Univ. Cape Town 1969, 5, 62-67 (1970). MSC: 55R25 55R50 15A66 PDFBibTeX XML