Algebraic Topology

Authors and titles for math.AT in Mar 2023

[1]  arXiv:2303.00130 [pdf, other]

Title: Convergence of Leray Cosheaves for Decorated Mapper Graphs

Authors: Justin Curry, Washington Mio, Tom Needham, Osman Berat Okutan, Florian Russold

Subjects: Algebraic Topology (math.AT)

[2]  arXiv:2303.00245 [pdf, other]

Title: On rank filtrations of algebraic K-theory and Steinberg modules

Authors: Jeremy Miller, Peter Patzt, Jennifer C. H. Wilson

Comments: 29 pages, 3 figures

Subjects: Algebraic Topology (math.AT); K-Theory and Homology (math.KT)

[3]  arXiv:2303.00567 [pdf, ps, other]

Title: What is an equivalence in a higher category?

Authors: Viktoriya Ozornova, Martina Rovelli

Comments: Comments welcome!

Subjects: Algebraic Topology (math.AT); Category Theory (math.CT)

[4]  arXiv:2303.00736 [pdf, ps, other]

Title: Twisted ambidexterity in equivariant homotopy theory

Authors: Bastiaan Cnossen

Comments: Comments welcome! v2: corrected typos, added reference to Quigley-Shah

Subjects: Algebraic Topology (math.AT)

[5]  arXiv:2303.00739 [pdf, ps, other]

Title: Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic $p>0$

Authors: Sanath K. Devalapurkar

Comments: 6 pages, comments welcome!

Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); K-Theory and Homology (math.KT)

[6]  arXiv:2303.01019 [pdf, ps, other]

Title: Vietoris thickenings and complexes are weakly homotopy equivalent

Authors: Patrick Gillespie

Comments: 17 pages

Subjects: Algebraic Topology (math.AT); General Topology (math.GN); Metric Geometry (math.MG)

[7]  arXiv:2303.01085 [pdf, other]

Title: Many partitions of mass assignments

Authors: Pavle V. M. Blagojevic, Michael C. Crabb

Comments: Dedicated to the memory of Frederick R. Cohen an exceptional mathematician and an amazing human being

Subjects: Algebraic Topology (math.AT); Metric Geometry (math.MG)

[8]  arXiv:2303.01415 [pdf, ps, other]

Title: Local data structures

Authors: J.F. Jardine

Subjects: Algebraic Topology (math.AT)

[9]  arXiv:2303.02022 [pdf, ps, other]

Title: An elementary proof of the chromatic Smith fixed point theorem

Authors: William Balderrama, Nicholas J. Kuhn

Comments: 10 pages

Subjects: Algebraic Topology (math.AT)

[10]  arXiv:2303.02549 [pdf, other]

Title: Computing Connection Matrices via Persistence-like Reductions

Authors: Tamal K. Dey, Michał Lipiński, Marian Mrozek, Ryan Slechta

Subjects: Algebraic Topology (math.AT); Computational Geometry (cs.CG); Dynamical Systems (math.DS)