Angelini-Knoll, Gabriel; Culver, Dominic Leon; Höning, Eva Topological Hochschild homology of truncated Brown-Peterson spectra. I. (English) Zbl 07922360 Algebr. Geom. Topol. 24, No. 5, 2509-2536 (2024). MSC: 16E40 19D55 55N22 55P43 55Q51 55P42 55Q10 55T99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Sourayan; Sadhu, Vivek On the generators of \(\mathrm{Nil} \ K\)-groups. (English) Zbl 07922354 J. Ramanujan Math. Soc. 39, No. 2, 163-170 (2024). MSC: 19D06 19D35 18E10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Auel, Asher; Suresh, V. Failure of the local-global principle for isotropy of quadratic forms over function fields. (English) Zbl 07918114 Algebra Number Theory 18, No. 8, 1497-1513 (2024). Reviewer: Stefan Gille (Edmonton) MSC: 11E04 11R58 12G05 14G12 14H52 14J32 14J40 19D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hiranouchi, Toshiro An additive variant of the differential symbol maps. (English) Zbl 07905787 Ann. \(K\)-Theory 9, No. 3, 499-518 (2024). MSC: 19C30 19D45 × 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). MSC: 19D55 55P42 55P43 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yi A cocyclic construction of \(S^1\)-equivariant homology and application to string topology. (English) Zbl 07902535 J. Noncommut. Geom. 18, No. 3, 953-993 (2024). MSC: 55P50 19D55 55N91 18M85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Campbell, Jonathan A.; Zakharevich, Inna Hilbert’s third problem and a conjecture of Goncharov. (English) Zbl 07900893 Adv. Math. 451, Article ID 109757, 57 p. (2024). MSC: 18G40 19D55 19E99 52B45 55U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basu, Rabeya; Chakraborty, Kuntal Results on \(\mathrm{K}_1\) of general quadratic groups. (English) Zbl 07900701 Commun. Math. 32, No. 1, Paper No. 14, 21 p. (2024). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19B14 13A02 13C10 15A63 19D35 11E57 20F18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Mazel-Gee, Aaron; Stern, Reuben A universal characterization of noncommutative motives and secondary algebraic \(K\)-theory. (English) Zbl 07899149 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
Brown, Michael K.; Walker, Mark E. Dévissage for periodic cyclic homology of complete intersections. (English) Zbl 07899148 Ann. \(K\)-Theory 9, No. 2, 341-367 (2024). Reviewer: Xiao-Wu Chen (Hefei) MSC: 19D55 13D03 13D09 14F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mirzaii, Behrooz; Torres Pérez, Elvis A refined Bloch-Wigner exact sequence in characteristic 2. (English) Zbl 07897478 J. Algebra 657, 141-158 (2024). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19D55 19D50 20G15 20J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakraborty, Sayan; Tang, Xiang; Yao, Yi-Jun Smooth Connes-Thom isomorphism, cyclic homology, and equivariant quantization. (English) Zbl 07895055 Commun. Math. Phys. 405, No. 8, Paper No. 188, 29 p. (2024). MSC: 46L80 19Dxx 19Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Keenan, Liam; McCandless, Jonas A chromatic vanishing result for TR. (English) Zbl 07892855 Proc. Am. Math. Soc. 152, No. 9, 3705-3713 (2024). MSC: 19D55 55P42 × Cite Format Result Cite Review PDF Full Text: DOI
Bayındır, Haldun Özgür Algebraic \(K\)-theory of the two-periodic first Morava \(K\)-theory. (English) Zbl 07891381 Trans. Am. Math. Soc. 377, No. 7, 5219-5246 (2024). MSC: 19D55 55P43 55Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krishna, Amalendu; Rathore, Jitendra; Sadhukhan, Samiron Duality theorems for curves over local fields. (English) Zbl 07889235 Trans. Am. Math. Soc., Ser. B 11, 945-1014 (2024). MSC: 14C25 14F22 14F30 19D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Land, Markus; Mathew, Akhil; Meier, Lennart; Tamme, Georg Purity in chromatically localized algebraic \(K\)-theory. (English) Zbl 07887948 J. Am. Math. Soc. 37, No. 4, 1011-1040 (2024). MSC: 19D55 55P43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lüders, Morten Zero-cycles in families of rationally connected varieties. (English) Zbl 07882869 Sel. Math., New Ser. 30, No. 4, Paper No. 68, 43 p. (2024). MSC: 14C25 19D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Bals, Konrad Periodic cyclic homology over \(\mathbb{Q}\). (English) Zbl 07875600 Ann. \(K\)-Theory 9, No. 1, 119-142 (2024). MSC: 13D03 19D55 19E08 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yagunov, Serge Grothendieck-Witt groups of henselian valuation rings. (English) Zbl 07875597 Ann. \(K\)-Theory 9, No. 1, 23-39 (2024). MSC: 19D50 19E20 19G38 14F35 14F43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lüders, Morten On the relative Gersten conjecture for Milnor \(K\)-theory in the smooth case. (English) Zbl 07873750 J. Pure Appl. Algebra 228, No. 11, Article ID 107718, 22 p. (2024). MSC: 19D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuribayashi, Katsuhiko; Naito, Takahito; Wakatsuki, Shun; Yamaguchi, Toshihiro Cartan calculi on the free loop spaces. (English) Zbl 07873740 J. Pure Appl. Algebra 228, No. 11, Article ID 107708, 39 p. (2024). Reviewer: Jean-Claude Thomas (Angers) MSC: 55P50 55P35 55P62 13D03 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hilman, Kaif Parametrised presentability over orbital categories. (English) Zbl 07870962 Appl. Categ. Struct. 32, No. 3, Paper No. 15, 53 p. (2024). MSC: 18G55 14F42 18D30 19D10 55P48 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ogawa, Yasuaki \(K_0\) of weak Waldhausen extriangulated categories. (English) Zbl 1541.18016 Proceedings of the 55th symposium on ring theory and representation theory, Osaka Metropolitan University, Osaka, Japan, September 6–9, 2021. Shizuoka: Symposium on Ring Theory and Representation Theory Organizing Committee. 77-84 (2024). MSC: 18G80 18E10 19D99 × Cite Format Result Cite Review PDF
Matzri, Eliyahu On the symbol length of symbols. (English) Zbl 07861176 Mann, Avinoam (ed.) et al., Amitsur centennial symposium, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel, November 1–4, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 800, 219-231 (2024). MSC: 11R32 19D45 11E04 × Cite Format Result Cite Review PDF Full Text: DOI
Mann, Avinoam (ed.); Rowen, Louis H. (ed.); Saltman, David J. (ed.); Shalev, Aner (ed.); Small, Lance W. (ed.); Vishne, Uzi (ed.) Amitsur centennial symposium, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel, November 1–4, 2021. (English) Zbl 1539.11006 Contemporary Mathematics 800. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7555-0/pbk; 978-1-4704-7613-7/ebook). x, 308 p. (2024). MSC: 11-06 11Exx 14Exx 15Axx 16Kxx 16Nxx 16Rxx 17Dxx 19Dxx 20Cxx 20Gxx 00B25 × Cite Format Result Cite Review PDF Full Text: DOI
Rogers, Robert; Schlichting, Marco On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings. (English) Zbl 07855997 Math. Z. 307, No. 2, Paper No. 41, 14 p. (2024). Reviewer: Adam Chapman (Tel Hai) MSC: 11E81 11E08 19D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ahlqvist, Eric Building data for stacky covers. (English) Zbl 07852828 Sel. Math., New Ser. 30, No. 3, Paper No. 50, 64 p. (2024). MSC: 14D20 14D23 14E20 14E22 19D23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Hornbostel, Jens; Park, Doosung Addendum to: “Real topological Hochschild homology of schemes”. (English) Zbl 1537.19004 J. Inst. Math. Jussieu 23, No. 3, 1519-1520 (2024). MSC: 19D55 11E70 16E40 55P91 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hornbostel, Jens; Park, Doosung Real topological Hochschild homology of schemes. (English) Zbl 07851602 J. Inst. Math. Jussieu 23, No. 3, 1461-1518 (2024); addendum ibid. 23, No. 3, 1519-1520 (2024). MSC: 19D55 14F42 11E70 16E40 55P91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Geldhauser, Nikita; Lavrenov, Andrei; Petrov, Victor; Sechin, Pavel Morava K-theory of orthogonal groups and motives of projective quadrics. (English) Zbl 07842512 Adv. Math. 446, Article ID 109657, 50 p. (2024). MSC: 20G15 14C15 19D55 19E15 19E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schlichting, Marco Corrigendum to: “Symplectic and orthogonal \(K\)-groups of the integers”. (Corrigendum à “\(K\)-groupes symplectiques et orthogonaux de l’anneau des entiers”.) (English. French summary) Zbl 1539.19002 C. R., Math., Acad. Sci. Paris 362, 307-308 (2024). MSC: 19D50 19D45 19B14 × Cite Format Result Cite Review PDF Full Text: DOI
Connes, Alain; Consani, Caterina Riemann-Roch for the ring \(\mathbb{Z}\). (Riemann-Roch pour l’anneau \(\mathbb{Z}\).) (English. French summary) Zbl 1539.14017 C. R., Math., Acad. Sci. Paris 362, 229-235 (2024). Reviewer: Nikolaj M. Glazunov (Sofia) MSC: 14C40 14G40 14H05 11R56 13F35 18N60 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cortiñas, Guillermo; Mukherjee, Devarshi A Quillen model structure of local homotopy equivalences. (English) Zbl 07828995 Theory Appl. Categ. 41, 268-287 (2024). MSC: 18N40 18G35 19D55 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Wendt, Matthias Chow-Witt rings of Grassmannians. (English) Zbl 07827835 Algebr. Geom. Topol. 24, No. 1, 1-48 (2024). MSC: 14C15 14F43 14C17 14M15 14C35 19Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 OA License
Ellis, Eugenia; Rodríguez Cirone, Emanuel Algebraic \(k\,k\)-theory and the KH-isomorphism conjecture. (English) Zbl 1540.19005 Doc. Math. 29, No. 2, 399-456 (2024). Reviewer: Ralf Meyer (Göttingen) MSC: 19D55 55N91 46L80 18N40 19K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kowalzig, Niels Centres, trace functors, and cyclic cohomology. (English) Zbl 07821478 Commun. Contemp. Math. 26, No. 3, Article ID 2250079, 54 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D15 18M05 16T05 16T15 19D55 16E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Wei; Mihalcea, Leonardo; Sharpe, Eric; Xu, Weihong; Zhang, Hao; Zou, Hao Quantum K theory rings of partial flag manifolds. (English) Zbl 1540.57044 J. Geom. Phys. 198, Article ID 105127, 30 p. (2024). Reviewer: Do Ngoc Diep (Hà Nội) MSC: 57R56 58J28 14M15 19L64 19D50 81T60 81T45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Sourayan; Sadhu, Vivek Lambda module structure on higher \(K\)-groups. (English) Zbl 1541.13015 J. Homotopy Relat. Struct. 19, No. 1, 53-61 (2024). Reviewer: Bernhard Köck (Southampton) MSC: 13D15 14C35 19D99 19E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eriksson, Dennis; Freixas i. Montplet, Gerard Deligne-Riemann-Roch and intersection bundles. (Deligne-Riemann-Roch et fibrés d’intersection.) (English. French summary) Zbl 07811893 J. Éc. Polytech., Math. 11, 247-361 (2024). MSC: 14C17 14G40 19D99 14C40 19D23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Dotto, Emanuele; Moi, Kristian; Patchkoria, Irakli On the geometric fixed points of real topological cyclic homology. (English) Zbl 1534.19001 J. Lond. Math. Soc., II. Ser. 109, No. 2, Article ID e12862, 68 p. (2024). Reviewer: Daniel Juan Pineda (Michoacán) MSC: 19D55 11E70 13F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kelly, Shane Cancellation theorems for Kähler differentials. (English) Zbl 07809579 Algebr. Geom. 11, No. 2, 174-177 (2024). MSC: 14F10 19D45 19F15 19E15 × Cite Format Result Cite Review PDF Full Text: DOI
Mirzaii, Behrooz; Torres Pérez, Elvis A refined scissors congruence group and the third homology of \(\operatorname{SL}_2\). (English) Zbl 07808759 J. Pure Appl. Algebra 228, No. 6, Article ID 107615, 28 p. (2024). Reviewer: Atabey Kaygun (İstanbul) MSC: 19D55 20J06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dahlhausen, Christian Continuous \(K\)-theory and cohomology of rigid spaces. (English) Zbl 07785288 Manuscr. Math. 173, No. 1-2, 119-153 (2024). Reviewer: Daniel Juan Pineda (Michoacán) MSC: 19E20 19D35 14G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Coronado, Rodrigo Cuitún Third homology of \(\mathrm{SL}_2\) over number fields: the norm-Euclidean quadratic imaginary case. (English) Zbl 07784725 J. Pure Appl. Algebra 228, No. 4, Article ID 107515, 20 p. (2024). Reviewer: Kevin Hutchinson (Dublin) MSC: 20G10 19D55 19F99 20J05 × 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 OA License
Davis, Daniel G. Several homotopy fixed point spectral sequences in telescopically localized algebraic \(K\)-theory. (English) Zbl 1539.19003 Math. J. Okayama Univ. 66, 135-157 (2024). MSC: 19D55 55N20 55P42 55T25 18N55 18N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Keshari, Manoj K.; Sharma, Sampat Applications of Swan’s Bertini theorem to unimodular rows. (English) Zbl 1528.13007 J. Pure Appl. Algebra 228, No. 2, Article ID 107487, 10 p. (2024). Reviewer: Rabeya Basu (Pune) MSC: 13C10 19D45 19G12 × Cite Format Result Cite Review PDF Full Text: DOI
Sarazola, Maru; Shapiro, Brandon; Zakharevich, Inna A combinatorial construction of homology via ACGW categories. arXiv:2410.00276 Preprint, arXiv:2410.00276 [math.KT] (2024). MSC: 18G50 19D99 18N10 × Cite Format Result Cite Full Text: arXiv OA License
Calle, Maxine E.; Sarazola, Maru Squares K-theory and 2-Segal spaces. arXiv:2409.16428 Preprint, arXiv:2409.16428 [math.KT] (2024). MSC: 19D99 18N10 55U10 18G90 × Cite Format Result Cite Full Text: arXiv OA License
Bohmann, Anna Marie; Gerhardt, Teena; Krulewski, Cameron; Petersen, Sarah; Yang, Lucy Equivariant Witt Complexes and Twisted Topological Hochschild Homology. arXiv:2409.05965 Preprint, arXiv:2409.05965 [math.AT] (2024). MSC: 55P91 19D55 13F35 × Cite Format Result Cite Full Text: arXiv OA License
Wang, Ren; Xu, Xiaoxiao; Zhang, Jinbi; Zhou, Guodong A recollement approach to Han’s conjecture. arXiv:2409.00945 Preprint, arXiv:2409.00945 [math.RT] (2024). MSC: 16E40 18G80 19D55 16E10 16E35 16E45 16E45 × Cite Format Result Cite Full Text: arXiv OA License
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
Lewis, Chloe Computational tools for Real topological Hochschild homology. arXiv:2408.07188 Preprint, arXiv:2408.07188 [math.AT] (2024). MSC: 55P91 19D55 × Cite Format Result Cite Full Text: arXiv OA License
Mirzaii, Behrooz; Pérez, Elvis Torres The low dimensional homology groups of the elementary group of rank two. arXiv:2407.17632 Preprint, arXiv:2407.17632 [math.KT] (2024). MSC: 19D99 × Cite Format Result Cite Full Text: arXiv OA License
Banerjee, Sourayan; Kuber, Amit Model-theoretic \(K_1\) of free modules over PIDs. arXiv:2407.13624 Preprint, arXiv:2407.13624 [math.LO] (2024). MSC: 03C60 19B99 03C07 19D23 19B14 × Cite Format Result Cite Full Text: arXiv OA License
Brown, Michael K.; Walker, Mark E. The Hodge structure on the singularity category of a complex hypersurface. arXiv:2407.09988 Preprint, arXiv:2407.09988 [math.AG] (2024). MSC: 13D03 13D09 14C30 14F08 14J70 19D55 × Cite Format Result Cite Full Text: arXiv OA License
de Jeu, Rob Bounding generators for the kernel and cokernel of the tame symbol for curves. arXiv:2407.07974 Preprint, arXiv:2407.07974 [math.KT] (2024). MSC: 19C20 19E08 14C15 19D45 × Cite Format Result Cite Full Text: arXiv OA License
Bianchi, Andrea; Kranhold, Florian Segal K-theory of vector spaces with an automorphism. arXiv:2407.01482 Preprint, arXiv:2407.01482 [math.KT] (2024). MSC: 19D23 19D06 18E10 15A20 12F10 55P42 × Cite Format Result Cite Full Text: arXiv OA License
Chan, David; Vogeli, Chase The Galois-equivariant \(K\)-theory of finite fields. arXiv:2406.19481 Preprint, arXiv:2406.19481 [math.KT] (2024). MSC: 19D50 55P91 × Cite Format Result Cite Full Text: arXiv OA License
Gepner, David; Im, Mee Seong; Khovanov, Mikhail; Kitchloo, Nitu Foams with flat connections and algebraic K-theory. arXiv:2405.14465 Preprint, arXiv:2405.14465 [math.KT] (2024). MSC: 57R90 19B99 19D06 18M05 19A99 55N22 × Cite Format Result Cite Full Text: arXiv OA License
Efimov, Alexander I. K-theory and localizing invariants of large categories. arXiv:2405.12169 Preprint, arXiv:2405.12169 [math.KT] (2024). MSC: 19D55 × Cite Format Result Cite Full Text: arXiv OA License
Lehner, Georg Group completion via the action \(\infty\)-category. arXiv:2405.12118 Preprint, arXiv:2405.12118 [math.KT] (2024). MSC: 19D06 19D23 18N60 18N70 × Cite Format Result Cite Full Text: arXiv OA License
Brown, Francis; Chan, Melody; Galatius, Søren; Payne, Sam Hopf algebras in the cohomology of \(\mathcal{A}_g\), \(\mathrm{GL}_n(\mathbb{Z})\), and \(\mathrm{SL}_n(\mathbb{Z})\). arXiv:2405.11528 Preprint, arXiv:2405.11528 [math.AG] (2024). MSC: 14K10 14T20 19D99 20G10 × Cite Format Result Cite Full Text: arXiv OA License
Yau, Donald May’s Conjecture on Bimonoidal Functors and Multiplicative Infinite Loop Space Theory. arXiv:2405.10834 Preprint, arXiv:2405.10834 [math.AT] (2024). MSC: 18M05 18M50 19D23 55P48 × Cite Format Result Cite Full Text: arXiv OA License
Pooya, Sanaz; Wang, Hang Higher Kazhdan projections and delocalised \(\ell^ 2\)-Betti numbers. arXiv:2405.03837 Preprint, arXiv:2405.03837 [math.OA] (2024). MSC: 46L80 19D55 20F65 × Cite Format Result Cite Full Text: arXiv OA License
Dotto, Emanuele An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2. arXiv:2405.02054 Preprint, arXiv:2405.02054 [math.AT] (2024). MSC: 19D55 11E81 13F35 55P91 14F30 19D45 × Cite Format Result Cite Full Text: arXiv OA License
Yau, Donald Multifunctorial Equivariant Algebraic K-Theory. arXiv:2404.02794 Preprint, arXiv:2404.02794 [math.AT] (2024). MSC: 18M65 18D20 19D23 19L47 55P43 55P91 × Cite Format Result Cite Full Text: arXiv OA License
Chapman, Adam; Levin, Ilan Invariant for Sets of Pfister Forms. arXiv:2404.00121 Preprint, arXiv:2404.00121 [math.KT] (2024). MSC: 19D45 11E04 11E81 13A35 16K20 20G10 × Cite Format Result Cite Full Text: arXiv OA License
Goldthorpe, Zach A note on Noetherian \((\infty, \infty)\)-categories. arXiv:2403.14827 Preprint, arXiv:2403.14827 [math.CT] (2024). MSC: 18D20 19D23 18C10 18N65 × Cite Format Result Cite Full Text: arXiv OA License
Chapman, Adam Linkage and Essential \(p\)-Dimension. arXiv:2403.11154 Preprint, arXiv:2403.11154 [math.RA] (2024). MSC: 16K20 13A35 19D45 × Cite Format Result Cite Full Text: arXiv OA License
Im, Mee Seong; Khovanov, Mikhail Foam cobordism and the Sah-Arnoux-Fathi invariant. arXiv:2403.06030 Preprint, arXiv:2403.06030 [math.GT] (2024). MSC: 37E05 37E99 18M30 19D99 × Cite Format Result Cite Full Text: arXiv OA License
Buss, Alcides; Garcia, Luiz Felipe; Mukherjee, Devarshi Operator algebras over the p-adic integers. arXiv:2403.04046 Preprint, arXiv:2403.04046 [math.OA] (2024). MSC: 46L89 46S10 19D55 × Cite Format Result Cite Full Text: arXiv OA License
Lueck, Wolfgang Relative assembly maps and the K-theory of Hecke algebras in prime characteristic. arXiv:2402.05278 Preprint, arXiv:2402.05278 [math.KT] (2024). MSC: 19D35 19D50 20C08 × 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
Brundan, Jonathan; Savage, Alistair; Webster, Ben The degenerate Heisenberg category and its Grothendieck ring. (La catégorie de Heisenberg dégénérée et son anneau de Grothendieck.) (English. French summary) Zbl 07827708 Ann. Sci. Éc. Norm. Supér. (4) 56, No. 5, 1517-1563 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 18M05 18M30 17B65 19D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aldrovandi, Ettore; Lester, Cynthia On multi-determinant functors for triangulated categories. (English) Zbl 07823988 Theory Appl. Categ. 39, 769-803 (2023). MSC: 18G80 18F25 19D23 18M65 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Efimov, Alexander I. K-theory of large categories. (English) Zbl 07823059 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). 2212-2226 (2023). MSC: 19D55 18G80 54B40 14F08 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Levine, Marc Motivic cohomology. (English) Zbl 07823054 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). 2048-2106 (2023). MSC: 14F42 14C15 19D55 19D45 55P42 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Nikolaus, Thomas Frobenius homomorphisms in higher algebra. (English) Zbl 1533.18024 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2826-2854 (2023). MSC: 18N70 55P43 19D55 13A35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Rakviashvili, G. On products in algebraic \(K\)-theory of crossed Hopf algebras. (English. Russian original) Zbl 1540.19004 J. Math. Sci., New York 275, No. 6, 758-766 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 177, 111-120 (2020). Reviewer: Jerry M. Lodder (Las Cruces) MSC: 19D10 16T05 × Cite Format Result Cite Review PDF Full Text: DOI
Kadeishvili, T. \(A ( \infty )\)-algebra structure in the cohomology and cohomologies of a free loop space. (English. Russian original) Zbl 1531.55007 J. Math. Sci., New York 275, No. 6, 735-743 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 177, 87-96 (2020). MSC: 55N35 55P35 19D55 55R20 16E40 × Cite Format Result Cite Review PDF Full Text: DOI
Schulz-Baldes, Hermann; Stoiber, Tom The generators of the \(K\)-groups of the sphere. (English) Zbl 07799886 Expo. Math. 41, No. 4, Article ID 125519, 13 p. (2023). MSC: 19E99 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ni, Yan’en; Tan, Yunfei; Yi, Yunfei; Zhang, Yuehui Nilpotent category of monoidal category and tensor-hom adjunction. (English) Zbl 1530.18016 Bull. Iran. Math. Soc. 49, No. 6, Paper No. 86, 16 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D25 19D23 × Cite Format Result Cite Review PDF Full Text: DOI
Ørsnes Jansen, Mikala The stratified homotopy type of the reductive Borel-Serre compactification. (English) Zbl 07794926 Int. Math. Res. Not. 2023, No. 19, 16394-16452 (2023). Reviewer: Matthew Dawes (Cardiff) MSC: 18N50 14F08 14F35 55U40 19D99 55P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adamyk, Katharine; Gerhardt, Teena; Hess, Kathryn; Klang, Inbar; Kong, Hana Jia A shadow perspective on equivariant Hochschild homologies. (English) Zbl 1536.55015 Int. Math. Res. Not. 2023, No. 18, 15299-15357 (2023). Reviewer: Sil Linskens (Bonn) MSC: 55P91 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Osipov, Denis V. Determinant central extension and \(\cup \)-products of 1-cocycles. (English. Russian original) Zbl 1539.14018 Russ. Math. Surv. 78, No. 4, 791-793 (2023); translation from Usp. Mat. Nauk 78, No. 4, 207-208 (2023). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14C40 18G15 19D45 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Lenz, Tobias Genuine versus naïve symmetric monoidal \(G\)-categories. (English) Zbl 07787212 Doc. Math. 28, No. 5, 1079-1161 (2023). Reviewer: Geoffrey Powell (Angers) MSC: 55P91 55P48 19D23 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ellis, Eugenia; Parra, Rafael On the \(K\)-theory of \(\mathbb{Z}\)-categories. (English) Zbl 07786747 J. Homotopy Relat. Struct. 18, No. 4, 455-476 (2023). MSC: 19D35 18D99 18E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben-Moshe, Shay; Schlank, Tomer M. Higher semiadditive algebraic \(K\)-theory and redshift. (English) Zbl 07782533 Compos. Math. 160, No. 2, 237-287 (2023). MSC: 19D55 55P42 18N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ganatra, Sheel Cyclic homology, \(S^1\)-equivariant Floer cohomology and Calabi-Yau structures. (English) Zbl 07777465 Geom. Topol. 27, No. 9, 3461-3584 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53D37 14J32 14J33 19D55 18G90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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
Chen, Xiaoman; Wang, Jinmin; Xie, Zhizhang; Yu, Guoliang Delocalized eta invariants, cyclic cohomology and higher rho invariants. (English) Zbl 1536.19003 Ann. \(K\)-Theory 8, No. 4, 531-608 (2023). MSC: 19D55 19K56 × 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
Lin, Xun Noncommutative Hodge conjecture. (English) Zbl 1535.14007 J. Noncommut. Geom. 17, No. 4, 1367-1389 (2023). MSC: 14A22 14C30 14F08 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Riggenbach, Noah \(K\)-theory of cuspidal curves over a perfectoid base and formal analogues. (English) Zbl 07759048 Adv. Math. 433, Article ID 109289, 40 p. (2023). MSC: 14G45 19Dxx 55Pxx 14Fxx × 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 OA License
Bolbachan, Vasily Chow dilogarithm and strong Suslin reciprocity law. (English) Zbl 1529.19001 J. Algebr. Geom. 32, No. 4, 697-728 (2023). MSC: 19D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiong, Si-yu; Bai, Ming-qiang; Mo, Zhi-wen Hierarchical cyclic teleportation based on time-bin multiplexing. (English) Zbl 1531.81051 Int. J. Theor. Phys. 62, No. 8, Paper No. 182, 13 p. (2023). MSC: 81P48 19D55 93A13 81V80 81P40 91E40 70F07 81P47 94A24 × Cite Format Result Cite Review PDF Full Text: DOI