Davis, James F.; Lück, Wolfgang On Nielsen realization and manifold models for classifying spaces. (English) Zbl 07935714 Trans. Am. Math. Soc. 377, No. 11, 7557-7600 (2024). Reviewer: Markus Banagl (Heidelberg) MSC: 57N99 55R35 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banagl, Markus Bundle transfer of \(L\)-homology orientation classes for singular spaces. (English) Zbl 07922363 Algebr. Geom. Topol. 24, No. 5, 2579-2618 (2024). Reviewer: Daniel Tanré (Villeneuve d’Ascq) MSC: 55N33 55R12 57N80 57Q50 57R20 57Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ogawa, Yasuaki; Shah, Amit A resolution theorem for extriangulated categories with applications to the index. (English) Zbl 07905973 J. Algebra 658, 450-485 (2024). MSC: 18F25 18G80 18E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clausen, Dustin; Mathew, Akhil; Naumann, Niko; Noel, Justin Descent and vanishing in chromatic algebraic \(K\)-theory via group actions. (Descente et annulation en \(K\)-théorie chromatique via les actions des groupes.) (English. French summary) Zbl 07904675 Ann. Sci. Éc. Norm. Supér. (4) 57, No. 4, 1135-1190 (2024). Reviewer: Christoph Winges (Regensburg) MSC: 19D55 55P42 55P43 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazel-Gee, Aaron; Stern, Reuben A universal characterization of noncommutative motives and secondary algebraic \(K\)-theory. (English) Zbl 1546.18010 Ann. \(K\)-Theory 9, No. 2, 369-445 (2024). Reviewer: Philippe Gaucher (Paris) MSC: 18F25 19D99 18D20 18N25 18N65 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Geiko, Roman; Hu, Yichen Homotopy classification of loops of Clifford unitaries. (English) Zbl 1548.19007 Commun. Math. Phys. 405, No. 8, Paper No. 187, 30 p. (2024). Reviewer: Alexandre Bouayad (Cambridge) MSC: 19G38 81V70 55P35 81Q20 81P68 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sosnilo, Vladimir \(\mathbb{A}^1\)-invariance of localizing invariants. (English) Zbl 07875599 Ann. \(K\)-Theory 9, No. 1, 89-118 (2024). MSC: 13F35 14F42 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Kengo K-theoretic duality for extensions of Cuntz-Krieger algebras. (English) Zbl 07852459 J. Math. Anal. Appl. 531, No. 2, Part 1, Article ID 127827, 26 p. (2024). MSC: 46L80 46L05 19K33 46M20 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hebestreit, Fabian; Krause, Achim; Ramzi, Maxime A note on quadratic forms. (English) Zbl 07844799 Bull. Lond. Math. Soc. 56, No. 5, 1803-1818 (2024). MSC: 11E70 18F25 19G38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Bohmann, Anna Marie; Szymik, Markus Generalisations of Loday’s assembly maps for Lawvere’s algebraic theories. (English) Zbl 1539.19001 J. Inst. Math. Jussieu 23, No. 2, 811-837 (2024). Reviewer: Marek Golasiński (Olsztyn) MSC: 19D23 18F25 18C10 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grady, Ryan; Schenfisch, Anna \(K\)-theory of multiparameter persistence modules: additivity. (English) Zbl 1537.18011 Proc. Am. Math. Soc., Ser. B 11, 63-74 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F25 55N31 19M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clausen, Dustin; Jansen, Mikala Ørsnes The reductive Borel-Serre compactification as a model for unstable algebraic K-theory. (English) Zbl 1529.18007 Sel. Math., New Ser. 30, No. 1, Paper No. 10, 93 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F25 19D06 32S60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kupers, Alexander; Lemann, Ezekiel; Malkiewich, Cary; Miller, Jeremy; Sroka, Robin J. Scissors automorphism groups and their homology. arXiv:2408.08081 Preprint, arXiv:2408.08081 [math.KT] (2024). MSC: 18F25 19D99 20J05 55P42 52B45 × Cite Format Result Cite Full Text: arXiv OA License
Küng, Felix Algebraic \(K_0\) for unpointed homotopy Categories. arXiv:2407.20911 Preprint, arXiv:2407.20911 [math.KT] (2024). MSC: 20N10 16E20 18F25 18N25 × Cite Format Result Cite Full Text: arXiv OA License
Cnossen, Bastiaan; Haugseng, Rune; Lenz, Tobias; Linskens, Sil Normed equivariant ring spectra and higher Tambara functors. arXiv:2407.08399 Preprint, arXiv:2407.08399 [math.AT] (2024). MSC: 18N70 55P91 18F25 18N60 55P47 × Cite Format Result Cite Full Text: arXiv OA License
Ogawa, Yasuaki; Shah, Amit Weak Waldhausen categories and a localization theorem. arXiv:2406.18091 Preprint, arXiv:2406.18091 [math.KT] (2024). MSC: 18F25 18E05 18E35 18G50 18G80 × Cite Format Result Cite Full Text: arXiv OA License
Matsukawa, Hisato Cofinality Theorems of Infinity Categories and Algebraic K-Theory. arXiv:2405.03498 Preprint, arXiv:2405.03498 [math.AT] (2024). MSC: 18F25 × Cite Format Result Cite Full Text: arXiv OA License
Kranz, Julian; Nishikawa, Shintaro Bernoulli shifts on additive categories and algebraic \(K\)-theory of wreath products. arXiv:2401.14806 Preprint, arXiv:2401.14806 [math.KT] (2024). MSC: 19A31 19B28 19D50 18F25 18E05 × Cite Format Result Cite Full Text: arXiv OA License
Aldrovandi, Ettore; Lester, Cynthia On multi-determinant functors for triangulated categories. (English) Zbl 1547.18022 Theory Appl. Categ. 39, 769-803 (2023). Reviewer: Panyue Zhou (Changsha) MSC: 18G80 18F25 19D23 18M65 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Asok, Aravind; Fasel, Jean Vector bundles on algebraic varieties. (English) Zbl 1542.14026 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 2146-2170 (2023). Reviewer: Oliver Röndigs (Osnabrück) MSC: 14F42 13C10 18F25 19A13 55R45 55S35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Land, Markus; Nikolaus, Thomas; Schlichting, Marco L-theory of \(C^*\)-algebras. (English) Zbl 1530.18018 Proc. Lond. Math. Soc. (3) 127, No. 5, 1451-1506 (2023). Reviewer: Christoph Winges (Regensburg) MSC: 18F25 19K35 19G12 19G38 19K56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saunier, Victor The fundamental theorem of localizing invariants. (English) Zbl 1536.19002 Ann. \(K\)-Theory 8, No. 4, 609-643 (2023). MSC: 19D35 18F25 19D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bartels, Arthur; Lück, Wolfgang On the algebraic \(K\)-theory of Hecke algebras. (English) Zbl 1524.18021 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 241-277 (2023). MSC: 18F25 19D35 19D50 20G05 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grady, Ryan; Schenfisch, Anna Zig-zag modules: cosheaves and \(K\)-theory. (English) Zbl 1525.18012 Homology Homotopy Appl. 25, No. 2, 243-274 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F25 19M05 32S60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reis, José Francisco An improvement of the Farrell-Jones conjecture for localising invariants. (English) Zbl 1524.18022 Proc. Am. Math. Soc. 151, No. 12, 5111-5116 (2023). Reviewer: Vitalii Guzeev (Sankt-Peterburg) MSC: 18F25 19D23 19D50 19G99 19E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elmanto, Elden; Haugseng, Rune On distributivity in higher algebra. I: The universal property of bispans. (English) Zbl 1533.19002 Compos. Math. 159, No. 11, 2326-2415 (2023). Reviewer: Alexander Prähauser (Wien) MSC: 19D99 14F42 18F25 18N65 18N70 19E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bohmann, Anna Marie; Szymik, Markus Boolean algebras, Morita invariance and the algebraic \(K\)-theory of Lawvere theories. (English) Zbl 1533.19001 Math. Proc. Camb. Philos. Soc. 175, No. 2, 253-270 (2023). Reviewer: Frank Neumann (Leicester) MSC: 19D23 06E05 16D90 18F25 18C10 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Makeev, G. S. An unsuspended description of the \(E\)-theory category. (English. Russian original) Zbl 1523.19001 Mosc. Univ. Math. Bull. 78, No. 1, 1-14 (2023); translation from Vestn. Mosk. Univ., Ser. I 78, No. 1, 3-14 (2023). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 19K35 46L80 46M20 18F25 × Cite Format Result Cite Review PDF Full Text: DOI
Sridharan, Raja; Upadhyay, Sumit Kumar; Yadav, Sunil Kumar The algebraic cohomotopy group and its properties. (English) Zbl 1521.13014 Indian J. Pure Appl. Math. 54, No. 2, 641-648 (2023). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13C10 13F20 13D15 18F25 14C35 × Cite Format Result Cite Review PDF Full Text: DOI
Joseph, Collin Mark; Meyer, Ralf Geometric construction of classes in van Daele’s K-theory. (English) Zbl 1512.19001 J. Math. Phys. 64, No. 5, Article ID 053504, 21 p. (2023). MSC: 19D10 19L64 19M05 81T45 57R56 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Hyungseop Adelic descent for \(K\)-theory. (English) Zbl 1515.19002 New York J. Math. 29, 1-28 (2023). MSC: 19E08 14C35 18F25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Calmès, Baptiste; Dotto, Emanuele; Harpaz, Yonatan; Hebestreit, Fabian; Land, Markus; Moi, Kristian; Nardin, Denis; Nikolaus, Thomas; Steimle, Wolfgang Hermitian K-theory for stable \(\infty\)-categories. I: Foundations. (English) Zbl 1522.19001 Sel. Math., New Ser. 29, No. 1, Paper No. 10, 269 p. (2023). Reviewer: Daniel Kasprowski (Southhampton) MSC: 19G12 11E81 18F25 19G38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coley, Ian; Weibel, Charles Localization, monoid sets and \(K\)-theory. (English) Zbl 1507.19005 J. Algebra 614, 754-779 (2023). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L47 20M32 20M50 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calle, Maxine; Chan, David; Péroux, Maximilien Equivariant algebraic \(K\)-theory of symmetric monoidal Mackey functors. arXiv:2312.04705 Preprint, arXiv:2312.04705 [math.AT] (2023). MSC: 55P91 19D23 18N60 18N10 55P42 18F25 × Cite Format Result Cite Full Text: arXiv OA License
Andrew, Naomi; Guerch, Yassine; Hughes, Sam Automorphisms of relatively hyperbolic groups and the Farrell–Jones Conjecture. arXiv:2311.14036 Preprint, arXiv:2311.14036 [math.KT] (2023). MSC: 18F25 20F28 20F65 20F67 20E08 × Cite Format Result Cite Full Text: arXiv OA License
Saunier, Victor A Theorem of the Heart for K-theory of Endomorphisms. arXiv:2311.13836 Preprint, arXiv:2311.13836 [math.KT] (2023). MSC: 19D06 19E08 18E10 18F25 × Cite Format Result Cite Full Text: arXiv
Bartels, Arthur; Lueck, Wolfgang Inheritance properties of the Farrell-Jones Conjecture for totally disconnected groups. arXiv:2306.01518 Preprint, arXiv:2306.01518 [math.KT] (2023). MSC: 18F25 20C08 × Cite Format Result Cite Full Text: arXiv
Küng, Felix Algebraic K\(_0\) for unpointed Categories. arXiv:2305.14054 Preprint, arXiv:2305.14054 [math.KT] (2023). MSC: 20N10 16E20 18F25 18N25 × Cite Format Result Cite Full Text: DOI arXiv OA License
Miller, Jeremy; Patzt, Peter; Wilson, Jennifer C. H. On rank filtrations of algebraic K-theory and Steinberg modules. arXiv:2303.00245 Preprint, arXiv:2303.00245 [math.AT] (2023). MSC: 55U10 55N25 16S37 18F25 × Cite Format Result Cite Full Text: arXiv OA License
Yau, Donald Y. The Grothendieck Construction of Bipermutative-Indexed Categories and Pseudo Symmetric Inverse K-Theory. arXiv:2302.00729 Preprint, arXiv:2302.00729 [math.CT] (2023). MSC: 18F25 × Cite Format Result Cite Full Text: arXiv
Schwede, Stefan Global algebraic \(K\)-theory. (English) Zbl 1520.19003 J. Topol. 15, No. 3, 1325-1454 (2022). MSC: 19D23 18F25 55P48 55P91 55Q91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Niles; Yau, Donald Multifunctorial \(K\)-theory is an equivalence of homotopy theories. (English) Zbl 1512.18012 J. Homotopy Relat. Struct. 17, No. 4, 569-592 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M65 55P42 55P48 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Raptis, George Dévissage for Waldhausen \(K\)-theory. (English) Zbl 1509.18008 Ann. \(K\)-Theory 7, No. 3, 467-506 (2022). Reviewer: Marek Golasiński (Olsztyn) MSC: 18F25 19D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Budur, Nero; Wang, Botong Correction to: “Absolute sets and the decomposition theorem”. (English. French summary) Zbl 1499.14031 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 5, 1473-1474 (2022). MSC: 14F08 14D20 18F25 18G80 14F10 14F45 32C38 14D05 × Cite Format Result Cite Review PDF Full Text: DOI
Elmanto, Elden; Sosnilo, Vladimir On nilpotent extensions of \(\infty\)-categories and the cyclotomic trace. (English) Zbl 1511.18009 Int. Math. Res. Not. 2022, No. 21, 16569-16633 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F25 18N60 14A20 14F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Annala, Toni; Iwasa, Ryomei Cohomology of the moduli stack of algebraic vector bundles. (English) Zbl 1508.14004 Adv. Math. 409, Part A, Article ID 108638, 25 p. (2022). MSC: 14A30 14D20 14F08 14H60 18F25 14A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goldfarb, Boris; Grossman, Jonathan L. Colimit theorems for coarse coherence with applications. (English) Zbl 1502.19001 Topology Appl. 320, Article ID 108240, 10 p. (2022). Reviewer: Daniel Juan Pineda (Michoacán) MSC: 19D50 20F69 16E65 20J05 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Tony; Galatius, Soren; Venkatesh, Akshay The Galois action on symplectic \(K\)-theory. (English) Zbl 1509.19007 Invent. Math. 230, No. 1, 225-319 (2022). Reviewer: Riccardo Pengo (Bonn) MSC: 19D99 11R70 14K22 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bunke, Ulrich; Caputi, Luigi Controlled objects as a symmetric monoidal functor. (English) Zbl 1497.18020 High. Struct. 6, No. 1, 182-211 (2022). Reviewer: Daniel Kasprowski (Bonn) MSC: 18G80 19D55 19D10 18F25 19D23 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Klein, John R.; Malkiewich, Cary \(K\)-theoretic torsion and the zeta function. (English) Zbl 1493.19001 Ann. \(K\)-Theory 7, No. 1, 77-118 (2022). Reviewer: Thomas Huettemann (Belfast) MSC: 19J10 57Q10 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Niles; Yau, Donald Y. Homotopy Theory of Enriched Mackey Functors. arXiv:2212.04276 Preprint, arXiv:2212.04276 [math.AT] (2022). MSC: 18A25 18D05 18D10 18D20 18F25 18M05 18M60 18M65 18N10 19D23 55P42 55P43 55P48 55P91 × Cite Format Result Cite Full Text: arXiv OA License
Hoekzema, Renee S.; Rovi, Carmen; Semikina, Julia A K-theory spectrum for cobordism cut and paste groups. arXiv:2210.00682 Preprint, arXiv:2210.00682 [math.AT] (2022). MSC: 19D99 18D99 18F25 18F30 57N70 55P15 57R75 57R90 57N40 × Cite Format Result Cite Full Text: arXiv OA License
Randal-Williams, Oscar The family signature theorem. arXiv:2204.11696 Preprint, arXiv:2204.11696 [math.AT] (2022). MSC: 19G24 19G38 55R10 57R19 57R20 × Cite Format Result Cite Full Text: arXiv OA License
Hilman, Kaif Parametrised noncommutative motives and equivariant cubical descent in algebraic K-theory. arXiv:2202.02591 Preprint, arXiv:2202.02591 [math.KT] (2022). MSC: 18F25 55P91 × Cite Format Result Cite Full Text: arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cisinski, Denis-Charles Cohomological methods in intersection theory. (English) Zbl 1478.14003 Neumann, Frank (ed.) et al., Homotopy theory and arithmetic geometry – motivic and Diophantine aspects. LMS-CMI research school, London, UK, July 9–13, 2018. Lecture notes. Cham: Springer. Lect. Notes Math. 2292, 49-105 (2021). MSC: 14-01 14C17 14F20 14F42 18F25 14C25 19D35 19E15 14C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Amit Compact closed categories and \(\Gamma\)-categories. (English) Zbl 1485.18023 Theory Appl. Categ. 37, 1222-1261 (2021). Reviewer: Christoph Winges (Regensburg) MSC: 18M05 18M60 18N55 18F25 55P42 19D23 × Cite Format Result Cite Review PDF Full Text: Link
Elmanto, Elden; Hoyois, Marc; Iwasa, Ryomei; Kelly, Shane Milnor excision for motivic spectra. (English) Zbl 1477.14036 J. Reine Angew. Math. 779, 223-235 (2021). Reviewer: Christoph Winges (Regensburg) MSC: 14F42 18F25 19E08 14F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hüttemann, Thomas The “fundamental theorem” for the higher algebraic \(K\)-theory of strongly \(\mathbb{Z}\)-graded rings. (English) Zbl 1482.19004 Doc. Math. 26, 1557-1599 (2021). Reviewer: Marek Golasiński (Olsztyn) MSC: 19D50 16E20 18F25 18G35 19D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clausen, Dustin; Mathew, Akhil Hyperdescent and étale \(K\)-theory. (English) Zbl 07387425 Invent. Math. 225, No. 3, 981-1076 (2021). MSC: 14F20 18F25 55N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dan-Cohen, Ishai; Schlank, Tomer Morphisms of rational motivic homotopy types. (English) Zbl 1483.18015 Appl. Categ. Struct. 29, No. 2, 311-347 (2021). MSC: 18F25 14F35 18N55 55P62 14C15 14F42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pappas, Georgios Volume and symplectic structure for \(\ell\)-adic local systems. (English) Zbl 1483.14036 Adv. Math. 387, Article ID 107836, 70 p. (2021). MSC: 14F20 14G22 11F80 19F27 11R34 11R37 11R70 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hebestreit, Fabian; Land, Markus; Nikolaus, Thomas On the homotopy type of \(\mathrm{L}\)-spectra of the integers. (English) Zbl 1484.19008 J. Topol. 14, No. 1, 183-214 (2021). MSC: 19G24 55U20 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kasprowski, Daniel; Li, Kevin; Lück, Wolfgang \(K\)- and \(L\)-theory of graph products of groups. (English) Zbl 1466.18008 Groups Geom. Dyn. 15, No. 1, 269-311 (2021). Reviewer: Christoph Winges (Regensburg) MSC: 18F25 20F36 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haesemeyer, Christian; Weibel, Charles A. The \(K'\)-theory of monoid sets. (English) Zbl 1478.19002 Proc. Am. Math. Soc. 149, No. 7, 2813-2824 (2021). Reviewer: Aurelien Djament (Villeneuve d’Ascq) MSC: 19D06 19D99 20M30 20M50 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Amit A homotopy theory of coherently commutative monoidal quasi-categories. (English) Zbl 1476.18014 Theory Appl. Categ. 37, 418-481 (2021). Reviewer: Tobias Columbus (Paderborn) MSC: 18N60 18M05 18N40 18N55 18F25 19D23 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Elmanto, Elden THH and TC are (very) far from being homotopy functors. (English) Zbl 1460.19003 J. Pure Appl. Algebra 225, No. 8, Article ID 106640, 12 p. (2021). MSC: 19D55 19E15 16E40 18F25 19D35 14C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brück, Benjamin; Kielak, Dawid; Wu, Xiaolei The Farrell-Jones conjecture for normally poly-free groups. (English) Zbl 1465.18010 Proc. Am. Math. Soc. 149, No. 6, 2349-2356 (2021). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 18F25 19A31 19B28 20F36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hidber, Cristhian E.; Juan-Pineda, Daniel The algebraic \(K\)-theory of the group ring of the Klein bottle group. (English) Zbl 1473.19002 Topology Appl. 293, Article ID 107562, 8 p. (2021). Reviewer: Christoph Winges (Regensburg) MSC: 19D50 18F25 55T05 × Cite Format Result Cite Review PDF Full Text: DOI
Sumano, Elhoim The 2-nerve of a 2-group and Deligne’s determinant functors. (English) Zbl 1458.18014 Theory Appl. Categ. 37, 227-265 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N50 55P15 55U35 55P05 18G45 18F25 × Cite Format Result Cite Review PDF Full Text: Link
Chang, Stanley; Weinberger, Shmuel A course on surgery theory. (English) Zbl 1484.57001 Annals of Mathematics Studies 211. Princeton, NJ: Princeton University Press (ISBN 978-0-691-16048-1/hbk; 978-0-691-16049-8/pbk; 978-0-691-20035-4/ebook). xii, 430 p. (2021). Reviewer: Krzysztof M. Pawałowski (Poznań) MSC: 57-02 57R65 57R67 18F25 19J25 57-01 × Cite Format Result Cite Review PDF Full Text: DOI
Kaad, Jens; Nest, Ryszard; Wolfson, Jesse A higher Kac-Moody extension for two-dimensional gauge groups. arXiv:2110.01649 Preprint, arXiv:2110.01649 [math.KT] (2021). MSC: 18N10 20J06 22E67 47A53 18F25 19K56 46L80 58B34 × Cite Format Result Cite Full Text: arXiv OA License
Johnson, Niles; Yau, Donald Y. Bimonoidal Categories, \(E_n\)-Monoidal Categories, and Algebraic \(K\)-Theory. arXiv:2107.10526 Preprint, arXiv:2107.10526 [math.CT] (2021). MSC: 18M99 18D20 18F25 18M05 18M15 18M50 18M60 18M65 18N10 19D23 55P42 55P43 55P48 × Cite Format Result Cite Full Text: arXiv OA License
Sarazola, Maru; Shapiro, Brandon A Gillet-Waldhausen Theorem for chain complexes of sets. arXiv:2107.07701 Preprint, arXiv:2107.07701 [math.KT] (2021). MSC: 19D99 18N10 18F25 18E10 19E08 × Cite Format Result Cite Full Text: arXiv OA License
Macpherson, Andrew W. Fibrations and Koszul duality in locally Cartesian localisations. arXiv:2105.12316 Preprint, arXiv:2105.12316 [math.CT] (2021). MSC: 18N40 55U35 18N60 18F25 14F42 × Cite Format Result Cite Full Text: arXiv OA License
Rakviashvili, Giorgi On cohomologies and algebraic \(K\)-theory of Lie \(p\)-superalgebras. (English) Zbl 1496.17018 Tbil. Math. J. 13, No. 2, 217-224 (2020). MSC: 17B50 18F25 17B56 17B55 19D25 19M05 × Cite Format Result Cite Review PDF Full Text: DOI
Carlsson, Gunnar; Goldfarb, Boris Excision in equivariant fibred \(G\)-theory. (English) Zbl 1483.19002 Ann. \(K\)-Theory 5, No. 4, 721-756 (2020). Reviewer: Michael Joachim (Münster) MSC: 19D50 19L47 55P91 55R91 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lück, Wolfgang Assembly maps. (English) Zbl 1473.18013 Miller, Haynes (ed.), Handbook of homotopy theory. Boca Raton, FL: CRC Press. CRC Press/Chapman Hall Handb. Math. Ser., 851-890 (2020). MSC: 18F25 46L80 55P91 57N99 18-02 55-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zheng, Min; Chen, Qinghua \({K_i}\)-group of \(t\)-structure of triangulated category. (Chinese. English summary) Zbl 1463.18010 J. Shandong Univ., Nat. Sci. 55, No. 8, 48-53, 58 (2020). MSC: 18F25 18G80 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Adeel A. Algebraic \(K\)-theory of quasi-smooth blow-ups and cdh descent. (K-théorie algébrique des éclatements quasi-lisses et descente pour la topologie cdh.) (English. French summary) Zbl 1520.14047 Ann. Henri Lebesgue 3, 1091-1116 (2020). MSC: 14F42 14A20 14A30 18F25 19E08 14C35 20C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cegarra, Antonio M. Nonabelian cocycles and the spectrum of a symmetric monoidal category. (English) Zbl 1448.18024 Turk. J. Math. 44, No. 1, 50-84 (2020). MSC: 18M05 18N10 55P47 18F25 × Cite Format Result Cite Review PDF Full Text: Link
Bustamante, Mauricio; Farrell, Francis Thomas; Jiang, Yi Involution on pseudoisotopy spaces and the space of nonnegatively curved metrics. (English) Zbl 1455.19004 Trans. Am. Math. Soc. 373, No. 10, 7225-7252 (2020). MSC: 19D55 19D10 55N91 18F25 55N35 57R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sridharan, Raja; Upadhyay, Sumit Kumar; Yadav, Sunil K. On an algebraic analogue of the Mayer-Vietoris sequence. (English) Zbl 1448.19002 Ambily, A. A. (ed.) et al., Leavitt path algebras and classical \(K\)-theory. Based on the international workshop on Leavitt path algebras and \(K\)-theory, Kerala, India, July 1–3, 2017. Singapore: Springer. Indian Stat. Inst. Ser., 261-279 (2020). MSC: 19B14 18F25 13C10 13C15 13D15 × Cite Format Result Cite Review PDF Full Text: DOI
Bunke, Ulrich; Engel, Alexander; Kasprowski, Daniel; Winges, Christoph Equivariant coarse homotopy theory and coarse algebraic K-homology. (English) Zbl 1442.18023 Cortiñas, Guillermo (ed.) et al., \(K\)-theory in algebra, analysis and topology. ICM 2018 satellite school and workshop, La Plata and Buenos Aires, Argentina, July 16–20 and July 23–27, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 749, 13-104 (2020). MSC: 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ellis, E.; Rodríguez Cirone, E.; Tartaglia, G.; Vega, S. Two examples of vanishing and squeezing in \(K_1\). (English) Zbl 1454.19001 New York J. Math. 26, 607-635 (2020). MSC: 19B28 18F25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cortiñas, Guillermo (ed.); Weibel, Charles A. (ed.) \(K\)-theory in algebra, analysis and topology. ICM 2018 satellite school and workshop, La Plata and Buenos Aires, Argentina, July 16–20 and July 23–27, 2018. (English) Zbl 1441.19002 Contemporary Mathematics 749. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5026-7/pbk; 978-1-4704-5594-1/ebook). vii, 398 p. (2020). MSC: 19-06 14A22 14F08 18F25 18N40 19A31 19Dxx 19G12 19K35 19K56 47L65 00B25 × Cite Format Result Cite Review PDF Full Text: DOI
Sarazola, Maru Cotorsion pairs and a \(K\)-theory localization theorem. (English) Zbl 1453.19004 J. Pure Appl. Algebra 224, No. 11, Article ID 106399, 28 p. (2020). MSC: 19D99 18F25 18E10 18G25 18G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Botong; Budur, Nero Absolute sets and the decomposition theorem. (English) Zbl 1453.14054 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 469-536 (2020); correction ibid. 55, No. 5, 1473-1474 (2022). MSC: 14F08 14D20 18F25 18G80 14F10 14F45 32C38 14D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kuku, Aderemi Higher algebraic \(K\)-theory and representations of algebraic groups. (English) Zbl 1449.19002 Afr. Mat. 31, No. 1, 129-141 (2020). MSC: 19Dxx 14C35 14M15 18F25 × Cite Format Result Cite Review PDF Full Text: DOI
Clausen, Dustin; Mathew, Akhil; Naumann, Niko; Noel, Justin Descent in algebraic \(K\)-theory and a conjecture of Ausoni-Rognes. (English) Zbl 1453.18011 J. Eur. Math. Soc. (JEMS) 22, No. 4, 1149-1200 (2020). MSC: 18F25 18F20 19D55 55P42 55P43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Amit Symmetric monoidal categories and \(\Gamma\)-categories. (English) Zbl 1440.18033 Theory Appl. Categ. 35, 417-512 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M05 18M60 18N55 18F25 55P42 19D23 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ivarsson, Björn; Kutzschebauch, Frank; Løw, Erik Factorization of symplectic matrices into elementary factors. (English) Zbl 1442.19003 Proc. Am. Math. Soc. 148, No. 5, 1963-1970 (2020). MSC: 19B14 18F25 19B10 20H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Barwick, Clark; Glasman, Saul; Shah, Jay Spectral Mackey functors and equivariant algebraic \(K\)-theory. II. (English) Zbl 1461.18009 Tunis. J. Math. 2, No. 1, 97-146 (2020). Reviewer: Daniel Kasprowski (Bonn) MSC: 18F25 19D10 55U40 55P91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calmès, Baptiste; Dotto, Emanuele; Harpaz, Yonatan; Hebestreit, Fabian; Land, Markus; Moi, Kristian; Nardin, Denis; Nikolaus, Thomas; Steimle, Wolfgang Hermitian K-theory for stable \(\infty\)-categories II: Cobordism categories and additivity. arXiv:2009.07224 Preprint, arXiv:2009.07224 [math.KT] (2020). MSC: 11E70 18F25 11E39 11E81 19D25 × Cite Format Result Cite Full Text: arXiv OA License
Lenz, Tobias G-Global Homotopy Theory and Algebraic K-Theory. arXiv:2012.12676 Preprint, arXiv:2012.12676 [math.AT] (2020). MSC: 55P91 19D23 18F25 55P48 × Cite Format Result Cite Full Text: arXiv OA License
Calmès, Baptiste; Dotto, Emanuele; Harpaz, Yonatan; Hebestreit, Fabian; Land, Markus; Moi, Kristian; Nardin, Denis; Nikolaus, Thomas; Steimle, Wolfgang Hermitian K-theory for stable \(\infty\)-categories III: Grothendieck-Witt groups of rings. arXiv:2009.07225 Preprint, arXiv:2009.07225 [math.KT] (2020). MSC: 11E70 18F25 19G38 11E39 11E81 19D25 × Cite Format Result Cite Full Text: arXiv OA License
Coley, Ian The K-theory of left pointed derivators. arXiv:2009.09063 Preprint, arXiv:2009.09063 [math.KT] (2020). MSC: 18F25 18N40 55U35 × Cite Format Result Cite Full Text: arXiv OA License
Galatius, Soren; Kupers, Alexander; Randal-Williams, Oscar \(E_\infty\)-cells and general linear groups of infinite fields. arXiv:2005.05620 Preprint, arXiv:2005.05620 [math.AT] (2020). MSC: 18F25 20G15 55P48 × Cite Format Result Cite Full Text: arXiv OA License
Rakviashvili, Giorgi On algebraic \(K\)-functors of crossed restricted enveloping algebras of Lie \(p\)-algebras. (English) Zbl 1443.16028 Bull. Georgian Natl. Acad. Sci. (N.S.) 13, No. 4, 12-19 (2019). MSC: 16S30 18F25 16E20 17B50 16S34 17B55 × Cite Format Result Cite Review PDF Full Text: Link
Popelenskii, F. Yu. Algebraic \(K\)-theory of upper triangular rings and its generalization. (English. Russian original) Zbl 1439.18011 Math. Notes 106, No. 5, 794-799 (2019); translation from Mat. Zametki 106, No. 5, 735-743 (2019). MSC: 18F25 16S50 20H99 × Cite Format Result Cite Review PDF Full Text: DOI