Julien Bichon (LMBP) Monoidal invariance of the cohomological dimension of Hopf algebras: the finite case https://arxiv.org/abs/2602.12731

Chunhui Wei D\'evissage for Algebraic K-theory of Small Stable $\infty$-categories https://arxiv.org/abs/2601.14626

Liang Guo, Hang Wang, Xiufeng Yao The K-theory of maximal and reduced Roe algebras for Hecke pairs with equivariant coarse embeddings https://arxiv.org/abs/2601.14682

Satya Mandal Nontrivial vector bundles with trivial Chern classes https://arxiv.org/abs/2601.01761

Chandrasekhar Gokavarapu (Lecturer in Mathematics, Government College) Fundamental comparison, base-change, and descent theorems in the $K$-theory of non-commutative n-ary Gamma-semirings https://arxiv.org/abs/2512.20807

Ivan Vasilev, Serge Yagunov Unordered resolutions and homological stability for linear groups https://arxiv.org/abs/2512.18110

Zhouhang Mao Around Segal conjecture in p-adic geometry https://arxiv.org/abs/2512.17665

Chandrasekhar Gokavarapu (Department of Mathematics, Government College, Department of Mathematics, Acharya Nagarjuna University, Guntur, A.P., India) Fundamental Theorems in the K-Theory of Gamma Semirings: Additivity, Localization, and D\'evissage https://arxiv.org/abs/2512.15839

Matthew Antrobus On solvability of the first Hochschild cohomology of odd p-groups https://arxiv.org/abs/2512.14555

Qingyuan Bai, Peter J. Haine Localizing invariants of constructible sheaves https://arxiv.org/abs/2512.12810

Heiko Gimperlein, Magnus Goffeng Sharp mapping properties of Poisson transforms and the Baum-Connes conjecture https://arxiv.org/abs/2512.10018

Francesco D'Andrea, Piotr M. Hajac, Tomasz Maszczyk, Bartosz Zieli\'nski Milnor meets Hopf and Toeplitz at the K-theory of quantum projective planes https://arxiv.org/abs/2512.08304

Higinio Serrano, Bernardo Uribe Magnetic Equivariant Graded Brauer Group https://arxiv.org/abs/2512.03511

Josefien Kuijper All K-theory is squares K-theory https://arxiv.org/abs/2512.01813

Andrei E Druzhinin Gersten conjecture for K-theory on Henselian schemes and $\phi$-motivic localisation https://arxiv.org/abs/2512.01923

Liang Guo, Kang Li, Qin Wang $K$-theory of ghostly ideals for $\ell^p$-coarsely embeddable spaces https://arxiv.org/abs/2511.22438

Tan Su Index invariants and Eta invariants determine Differential KO theory in degrees that are multiples of 8 https://arxiv.org/abs/2511.19904

Magnus Fries The relative index theorem and a characterization of Fredholm operators https://arxiv.org/abs/2511.06375

Ralf Meyer Topological insulators and stable isomorphism versus isomorphism of vector bundles https://arxiv.org/abs/2511.00695

Malkhaz Bakuradze, Ralf Meyer On equivariant embeddings of G-bundles https://arxiv.org/abs/2511.00734

Chase Vogeli Derived induction theory for the K-theory of modular group algebras https://arxiv.org/abs/2510.25763

Ming Ng $K_1(Var)$ is presented by stratified birational equivalences https://arxiv.org/abs/2510.20433

Alexander I. Efimov Rigidity of the category of localizing motives https://arxiv.org/abs/2510.17010

Shrawan Kumar Conjectural Positivity for Pontryagin Product in Equivariant K-theory of Loop Groups https://arxiv.org/abs/2510.07689

Christoph Winges Localisation theorems for the connective K-theory of exact categories https://arxiv.org/abs/2510.07170

Behrooz Mirzaii, Abraham Rojas Vega Schur multiplier of $\mathrm{SL}_2$ over finite commutative rings https://arxiv.org/abs/2510.03946

Liang Guo, Qin Wang, Chen Zhang Relative higher index theory on quotients of Roe algebras and positive scalar curvature at infinity https://arxiv.org/abs/2509.23380

Marius Dadarlat, Forrest Glebe On Chern classes of almost representations https://arxiv.org/abs/2509.23950

Cihan Bahran Local degrees of FI-modules through spectral sequences https://arxiv.org/abs/2509.23998

David Baraglia A Fourier-Mukai Transform For KR Theory https://arxiv.org/abs/2509.24284

Haripriya Sridharan The Oka principle in higher twisted K-theory https://arxiv.org/abs/2509.24362

Prerna Dhankhar, Rebecca Field, Arjun Nigam, J. D. Quigley, Albert Jinghui Yang Very effective algebraic and hermitian K-theory of the cyclic group of order two https://arxiv.org/abs/2509.25006

Inbar Klang, Josefien Kuijper, Cary Malkiewich, David Mehrle, Thor Wittich Higher Spherical Scissors Congruence I: Hopf Algebra https://arxiv.org/abs/2509.18009

Yang Han, Xukun Wang Lax functoriality of Hochschild cochain complex https://arxiv.org/abs/2509.14620

Ishan Levy, Vladimir Sosnilo $c$-structures and trace methods beyond connective rings https://arxiv.org/abs/2509.14774

Shintaro Nishikawa, Nansen Petrosyan Dehn fillings, equivariant homology, and the Baum-Connes conjecture https://arxiv.org/abs/2509.15070

Shin Hayashi Index theory and bulk-boundary correspondence for inversion-symmetric second-order topological insulators https://arxiv.org/abs/2509.09240

Valerio Proietti, Makoto Yamashita Chern character for torsion-free ample groupoids https://arxiv.org/abs/2509.07663

Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar Happel's question, Han's conjecture and $\tau$-Hochschild (co)homology https://arxiv.org/abs/2509.05135

Jackson Morris Rings of cooperations for Hermitian K-theory over finite fields https://arxiv.org/abs/2509.02786

Wenqing Wu, Hang Wang $K$-Theory of Adelic and Rational Group $C^*$-algebras via Generalized Winding Numbers https://arxiv.org/abs/2509.00390

Maxime Ramzi $K(1)$-local $K$-theory of Azumaya algebras https://arxiv.org/abs/2509.01516

Andrew Phimister Spectral sequences for the cyclic cohomology of differential graded algebras https://arxiv.org/abs/2508.16869

David Chan, Noah Wisdom The algebraic $K$-theory of Green functors https://arxiv.org/abs/2508.14207

Andrew Phimister The spectral sequence of a polycomplex https://arxiv.org/abs/2508.14348

Jonathan Lindell Corings, their dual rings and relative (co)Hochschild cohomology https://arxiv.org/abs/2508.10668

Tom Bachmann, Elden Elmanto, Matthew Morrow $\mathbb{A}^1$-invariant motivic cohomology of schemes https://arxiv.org/abs/2508.09915

Jens Kaad Spectral localizers in KK-theory https://arxiv.org/abs/2508.08668

Ralf Meyer The Baum-Connes conjecture for extensions https://arxiv.org/abs/2508.05726

Sourayan Banerjee Homotopy Invariance of $K$-groups using Grayson's Technique https://arxiv.org/abs/2508.05184