arXiv math.AT Algebraic Topology

Joost Nuiten, Jiaqi Fu: Homotopy operations on higher Lie algebras https://arxiv.org/abs/2610.36942 https://arxiv.org/pdf/2610.36942 https://arxiv.org/html/2610.36942

Junyan Chu, Shizuo Kaji, Meiyan Kang: A minimising principle for interval covers of zigzag persistence modules https://arxiv.org/abs/2610.36843 https://arxiv.org/pdf/2610.36843 https://arxiv.org/html/2610.36843

Oleg R. Musin: Morse-Maxwell Theory for Directed Acyclic Graph https://arxiv.org/abs/2610.36372 https://arxiv.org/pdf/2610.36372 https://arxiv.org/html/2610.36372

[2026-10-28 Wed (UTC), 3 new articles found for mathAT Algebraic Topology]

Hadrian Heine: Stable homotopy theory of higher categories with adjoints https://arxiv.org/abs/2610.35861 https://arxiv.org/pdf/2610.35861 https://arxiv.org/html/2610.35861

Hana Jia Kong, Achim Krause, Yutao Liu, XiaoLin Danny Shi, Zhouli Xu: On the Anderson Dual of $H\underline{\mathbb Z}$ and $H\underline{\mathbb F}_2$ https://arxiv.org/abs/2610.35796 https://arxiv.org/pdf/2610.35796 https://arxiv.org/html/2610.35796

Eric Hogle, Clover May, Foling Zou: $RO(G)$-graded cohomology of a point is self-injective https://arxiv.org/abs/2610.35351 https://arxiv.org/pdf/2610.35351 https://arxiv.org/html/2610.35351

Pietro Capovilla, Alberto Casali, Marco Moraschini: The flipping principle for boundedly acyclic covers and colorings https://arxiv.org/abs/2610.35222 https://arxiv.org/pdf/2610.35222 https://arxiv.org/html/2610.35222

Beckham Myers: Semiadditive Power Operations in Chromatic Height $1$ https://arxiv.org/abs/2610.34992 https://arxiv.org/pdf/2610.34992 https://arxiv.org/html/2610.34992

Sanath K. Devalapurkar, Ishan Levy: Ramification in $\mathbf{E}_{n}$-algebras https://arxiv.org/abs/2610.33754 https://arxiv.org/pdf/2610.33754 https://arxiv.org/html/2610.33754

Jiaxi Zha: Some chromatic height computations for homotopy fixed points of iterated topological Hochschild homology https://arxiv.org/abs/2610.33534 https://arxiv.org/pdf/2610.33534 https://arxiv.org/html/2610.33534

Peter Rowley: Elmendorf's Theorem for $\infty$-categories https://arxiv.org/abs/2610.33183 https://arxiv.org/pdf/2610.33183 https://arxiv.org/html/2610.33183

[2026-10-27 Tue (UTC), 8 new articles found for mathAT Algebraic Topology]

Stefano Bonzio, Andrea Loi: Associative Lifts of CW Semigroups https://arxiv.org/abs/2610.32426 https://arxiv.org/pdf/2610.32426 https://arxiv.org/html/2610.32426

Basile Coron, Denis Lyskov: Presheaf structures governed by oriented matroids and pseudohyperplane arrangements https://arxiv.org/abs/2610.31837 https://arxiv.org/pdf/2610.31837 https://arxiv.org/html/2610.31837

Pengkun Huang: Tate Frobenius and chromatic blueshift of finite spectra https://arxiv.org/abs/2610.31806 https://arxiv.org/pdf/2610.31806 https://arxiv.org/html/2610.31806

[2026-10-26 Mon (UTC), 3 new articles found for mathAT Algebraic Topology]

Sonja Farr: The center is the formal internal automorphism group https://arxiv.org/abs/2610.31411 https://arxiv.org/pdf/2610.31411 https://arxiv.org/html/2610.31411

Matthew Blake, Firas A. Khasawneh: Bridging persistence of discrete and continuous 1D maps: Total variation, permutation equivalence, and diagonal affine transformations https://arxiv.org/abs/2610.31391 https://arxiv.org/pdf/2610.31391 https://arxiv.org/html/2610.31391

Xiang Xiang Wang, Guo-Wei Wei: Mathematical AI Predicts 40% and 57% Influenza Vaccine Effectiveness Against H1N1 and H3N2, Respectively, for the 2026--2027 U.S. Season https://arxiv.org/abs/2610.31301 https://arxiv.org/pdf/2610.31301 https://arxiv.org/html/2610.31301

Frances Kirwan, Vidit Nanda: Landfall Geometry https://arxiv.org/abs/2610.30993 https://arxiv.org/pdf/2610.30993 https://arxiv.org/html/2610.30993

Doron Grossman-Naples: Isogenies of Oriented Elliptic Curves https://arxiv.org/abs/2610.30376 https://arxiv.org/pdf/2610.30376 https://arxiv.org/html/2610.30376

[2026-10-23 Fri (UTC), 5 new articles found for mathAT Algebraic Topology]

So Yamagata: Discrete homotopy of graphs and $k$-parabolic subspace arrangements https://arxiv.org/abs/2610.29690 https://arxiv.org/pdf/2610.29690 https://arxiv.org/html/2610.29690

Karel Dekimpe, Lore De Weerdt: Nielsen coincidence theory for $(n,m)$-valued pairs https://arxiv.org/abs/2610.29274 https://arxiv.org/pdf/2610.29274 https://arxiv.org/html/2610.29274

Abhiram Srinivas Yedathore: Day Convolution and Homotopy Groups on the Pointed Homotopy Category of CW Complexes https://arxiv.org/abs/2610.29239 https://arxiv.org/pdf/2610.29239 https://arxiv.org/html/2610.29239

Kyle Ormsby: Pontryagin-Thom, $\pi_0$ of the motivic sphere, and principal quadratic divisors https://arxiv.org/abs/2610.29065 https://arxiv.org/pdf/2610.29065 https://arxiv.org/html/2610.29065

Alexis Aumonier: The moduli space of maps from hypersurfaces and its Goodwillie tower https://arxiv.org/abs/2610.28809 https://arxiv.org/pdf/2610.28809 https://arxiv.org/html/2610.28809

[2026-10-22 Thu (UTC), 5 new articles found for mathAT Algebraic Topology]

Yoshihiro Hirato, Jin-ho Lee, Toshiyuki Miyauchi, Juno Mukai, Mariko Ohara, Juxin Yang: Homotopy Groups of Special Orthogonal Groups in Degrees 23 to 29 https://arxiv.org/abs/2610.28447 https://arxiv.org/pdf/2610.28447 https://arxiv.org/html/2610.28447

Kian Lush: Complex Projective Spaces in Rational $SO(2)$-Equivariant Stable Homotopy Theory https://arxiv.org/abs/2610.28039 https://arxiv.org/pdf/2610.28039 https://arxiv.org/html/2610.28039

Prerna Dhankhar: On the Motivic K-Theories of Classifying Spaces of Cyclic 2-Groups https://arxiv.org/abs/2610.27016 https://arxiv.org/pdf/2610.27016 https://arxiv.org/html/2610.27016

Oliver H. Wang: Disc-presheaves and normal invariants https://arxiv.org/abs/2610.26895 https://arxiv.org/pdf/2610.26895 https://arxiv.org/html/2610.26895

Vanja Stojanovi\'c: Probabilistic Stability Transfer for One-Dimensional Euler Characteristic Transforms https://arxiv.org/abs/2610.26870 https://arxiv.org/pdf/2610.26870 https://arxiv.org/html/2610.26870

[2026-10-21 Wed (UTC), 5 new articles found for mathAT Algebraic Topology]

Preston Cranford: $\mathbb{C}$-Motivic Eilenberg-Mac Lane Spectra as $\mathrm{MGL}$-Motivic Thom Spectra and Normed $\mathbb{G}_m$-Hochschild Homology https://arxiv.org/abs/2610.26771 https://arxiv.org/pdf/2610.26771 https://arxiv.org/html/2610.26771

Marco Giustetto, Thor Wittich: On the notion of $\mathbb{A}^1$-coverings https://arxiv.org/abs/2610.26345 https://arxiv.org/pdf/2610.26345 https://arxiv.org/html/2610.26345

Andrey Mikhovich: Adelic Asphericity and One-Relator Pro-\(p\) Groups https://arxiv.org/abs/2610.26288 https://arxiv.org/pdf/2610.26288 https://arxiv.org/html/2610.26288

Zhiqaing Wei, Mengyan Xing, Xingya Zhao: A New Proof of Wei's Theorem https://arxiv.org/abs/2610.25838 https://arxiv.org/pdf/2610.25838 https://arxiv.org/html/2610.25838

Sergei Vad. Fomin: On simplicial maps with non-zero Hopf invariant https://arxiv.org/abs/2610.25562 https://arxiv.org/pdf/2610.25562 https://arxiv.org/html/2610.25562

Li He: Refined proper descent for left completed sheaves on locally compact Hausdorff spaces https://arxiv.org/abs/2610.25095 https://arxiv.org/pdf/2610.25095 https://arxiv.org/html/2610.25095

[2026-10-20 Tue (UTC), 6 new articles found for mathAT Algebraic Topology]

Zhi L\"u, Jun Ma, Qiangbo Tan: Unitary $S^1$-Manifolds with Four Fixed Points and Kosniowski's Conjecture https://arxiv.org/abs/2610.23855 https://arxiv.org/pdf/2610.23855 https://arxiv.org/html/2610.23855

Marco Delgado-Garrido, Lars Moberg Salbu, Alvaro Torras-Casas, Rocio Gonzalez-Diaz: A stable multipersistence invariant for ladder modules https://arxiv.org/abs/2610.23838 https://arxiv.org/pdf/2610.23838 https://arxiv.org/html/2610.23838

Thomas Brazelton, Ben Spitz: Operations on $G$-sets and the Dress map https://arxiv.org/abs/2610.23758 https://arxiv.org/pdf/2610.23758 https://arxiv.org/html/2610.23758

Pedro Brunialti: Involutions on $(\infty,n)$-categories of bordisms and reflection TQFTs https://arxiv.org/abs/2610.23712 https://arxiv.org/pdf/2610.23712 https://arxiv.org/html/2610.23712

Aziz Kharoof, Chung-Ping Lai: Homology and carrier faces of simplicial distributions https://arxiv.org/abs/2610.23672 https://arxiv.org/pdf/2610.23672 https://arxiv.org/html/2610.23672

Vigleik Angeltveit: The Smith-Toda complex V(4) exists for p >= 11 https://arxiv.org/abs/2610.23215 https://arxiv.org/pdf/2610.23215 https://arxiv.org/html/2610.23215

J. P. C. Greenlees: Rational torus equivariant spectra VII: the Cousin complex https://arxiv.org/abs/2610.23164 https://arxiv.org/pdf/2610.23164 https://arxiv.org/html/2610.23164

Jackson Morris: A $\mathbb{C}$-motivic $w_1$-self-map of periodicity 1 https://arxiv.org/abs/2610.22651 https://arxiv.org/pdf/2610.22651 https://arxiv.org/html/2610.22651