Algebraic Topology Papers

Integral bases for the second degree cohomology of 4-dimensional toric orbifolds Tseleung So, Jongbaek Song arxiv.org/abs/2604.02562 [𝚖𝚊𝚝𝚑.𝙰𝚃]

A rational model for the fiberwise THH transfer I: Sullivan algebras Florian Naef, Robin Stoll arxiv.org/abs/2604.02516 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝙺𝚃 𝚖𝚊𝚝𝚑.𝚁𝙰]

On the classifying space of a Morse flow category Maxine E. Calle, Fangji Liu arxiv.org/abs/2603.23695 [𝚖𝚊𝚝𝚑.𝙰𝚃]

Function-Rips complexes in persistent homotopy theory: Local stability and Latschev theorems Steve Oudot, Lukas Waas arxiv.org/abs/2603.23460 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝙼𝙶]

A hypergraph model for the cyclic BV operad and its applications Sergei Merkulov arxiv.org/abs/2603.23368 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝚀𝙰]

Infinite families of very exotic spheres with free S¹- and S³-actions Tilman Bauer, J. D. Quigley arxiv.org/abs/2603.23241 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝙶𝚃]

Cocycles and positive functionals in higher cohomology Antonio López Neumann, Piotr W. Nowak arxiv.org/abs/2603.21431 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝙶𝚁 𝚖𝚊𝚝𝚑.𝙾𝙰]

Buchstaber, Ochanine, Krichever, and Witten genera Mikhail Kornev arxiv.org/abs/2603.21118 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝙰𝙶]

Universal Coefficients and Mayer-Vietoris for Moore Homology of Ample Groupoids Luciano Melodia arxiv.org/abs/2603.20861 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚌𝚜.𝙻𝙶 𝚖𝚊𝚝𝚑.𝙺𝚃 𝚖𝚊𝚝𝚑.𝙾𝙰]

On Topological André-Quillen homology of Eilenberg-MacLane spectra Cyril Barlasov arxiv.org/abs/2603.18932 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝙺𝚃]

Cohomology of dilute Temperley–Lieb algebras Andrew Fisher, Daniel Graves arxiv.org/abs/2603.18704 [𝚖𝚊𝚝𝚑.𝙰𝚃]

Borsuk-Ulam type theorem for Stiefel manifolds and orthogonal mass partitions Oleg R. Musin arxiv.org/abs/2603.18550 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝙲𝙾 𝚖𝚊𝚝𝚑.𝙼𝙶]

Ambidextrous global spectra and tempered cohomology William Balderrama, Jack Morgan Davies, Sil Linskens arxiv.org/abs/2603.17853 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝙰𝙶 𝚖𝚊𝚝𝚑.𝙲𝚃 𝚖𝚊𝚝𝚑.𝙺𝚃]

A Real-global equivariant Segal–Becker splitting, explicit Brauer induction, and global Adams operations Stefan Schwede arxiv.org/abs/2603.17848 [𝚖𝚊𝚝𝚑.𝙰𝚃]

Heights of Stiefel–Whitney classes and zero-divisor cup-length of some Grassmann manifolds Milica Jovanović, Vuk Ovaskainen, Branislav I. Prvulović, Antonije Subotić arxiv.org/abs/2603.17660 [𝚖𝚊𝚝𝚑.𝙰𝚃]

The Chordal Distance Transform of Geometric Loops and its Persistent Homology James A. D. Binnie, Otto Sumray, Ka Man Yim arxiv.org/abs/2603.17125 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚖𝚊𝚝𝚑.𝙶𝚃]

Topological simplification guided by forbidden regions Jakub Leśkiewicz, Bartosz Furmanek, Michał Lipiński, Dmitriy Morozov arxiv.org/abs/2603.16416 [𝚖𝚊𝚝𝚑.𝙰𝚃]

Worst-Case Examples for the Computation of Persistent Homology Uzay Çetin, Ergun Yalcin arxiv.org/abs/2603.16327 [𝚖𝚊𝚝𝚑.𝙰𝚃]

Burnings of trees and their homologies Yuri Muranov, Anna Muranova arxiv.org/abs/2603.15165 [𝚖𝚊𝚝𝚑.𝙰𝚃 𝚌𝚜.𝙸𝚃 𝚖𝚊𝚝𝚑.𝙲𝙾]

On the sequential topological complexity and the LS-category of the cofiber of higher diagonals for symmetric products of non-orientable surfaces Jesús González, Ekansh Jauhari arxiv.org/abs/2603.14788 [𝚖𝚊𝚝𝚑.𝙰𝚃]