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)

[11]  arXiv:2303.02603 [pdf, other]

Title: Homotopy Cardinality via Extrapolation of Morava-Euler Characteristics

Authors: Lior Yanovski

Comments: 31 pages. Comments are welcome!

Subjects: Algebraic Topology (math.AT)

[12]  arXiv:2303.03333 [pdf, ps, other]

Title: LS-category and topological complexity of Milnor manifolds and corresponding generalized projective product spaces

Authors: Navnath Daundkar

Comments: 16 pages. Final version, to appear in Topological Methods in Nonlinear Analysis

Subjects: Algebraic Topology (math.AT)

[13]  arXiv:2303.03653 [pdf, ps, other]

Title: A categorified Dwyer-Kan correspondence

Authors: Till Heine

Comments: 42 pages, preliminary version

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

[14]  arXiv:2303.05294 [pdf, ps, other]

Title: On the support of Betti tables of multiparameter persistent homology modules

Authors: Andrea Guidolin, Claudia Landi

Comments: 15 pages

Subjects: Algebraic Topology (math.AT)

[15]  arXiv:2303.05677 [pdf, ps, other]

Title: Magnitude and magnitude homology of filtered set enriched categories

Authors: Yasuhiko Asao

Comments: 35 pages, 1 figure, Fixed English for the second version

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

[16]  arXiv:2303.06118 [pdf, other]

Title: Decomposition of zero-dimensional persistence modules via rooted subsets

Authors: Ángel Javier Alonso, Michael Kerber

Comments: 16 pages, 5 figures, 1 table

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

[17]  arXiv:2303.06240 [pdf, ps, other]

Title: Algebraic Goodwillie spectral sequence

Authors: Nikolay Konovalov

Comments: 102 pages. Comments welcome

Subjects: Algebraic Topology (math.AT)

[18]  arXiv:2303.06715 [pdf, other]

Title: Transversal motion planning

Authors: Cesar A. Ipanaque Zapata, Fernando R. Chu Rivera

Comments: 12 pages. Comments are welcome

Subjects: Algebraic Topology (math.AT)

[19]  arXiv:2303.07097 [pdf, ps, other]

Title: Layers and stability

Authors: J.F. Jardine

Comments: This paper appeared on the author's website in January, 2021

Subjects: Algebraic Topology (math.AT)

[20]  arXiv:2303.07979 [pdf, ps, other]

Title: The homology of the partition algebras

Authors: Rachael Boyd, Richard Hepworth, Peter Patzt

Comments: 23 pages. Final version, to appear in Pacific Journal of Mathematics

Journal-ref: Pacific J. Math. 327 (2023) 1-27

Subjects: Algebraic Topology (math.AT); Geometric Topology (math.GT); Representation Theory (math.RT)

[21]  arXiv:2303.08111 [pdf, ps, other]

Title: Differentials of Sinha's spectral sequence for long knots in codimension one

Authors: Syunji Moriya

Comments: 27 pages, 6 figures, an attempt to enable automatical pdf creation, mathemtical content is not changed

Subjects: Algebraic Topology (math.AT)

[22]  arXiv:2303.08270 [pdf, other]

Title: Meta-Diagrams for 2-Parameter Persistence

Authors: Nate Clause, Tamal K. Dey, Facundo Mémoli, Bei Wang

Comments: 22 pages, 8 figures. Full version of the paper that is to appear in the Proceedings of the 39th International Symposium on Computational Geometry (SoCG 2023)

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

[23]  arXiv:2303.08796 [pdf, ps, other]

Title: Derived functors of product and limit in the category of comodules over the dual Steenrod algebra

Authors: A. Salch

Comments: accepted version, has some new explicit examples

Subjects: Algebraic Topology (math.AT); Commutative Algebra (math.AC); Rings and Algebras (math.RA)

[24]  arXiv:2303.09091 [pdf, other]

Title: The families Clifford index and differential KO-theory

Authors: Daniel Berwick-Evans

Comments: 37 pages

Subjects: Algebraic Topology (math.AT); Differential Geometry (math.DG)

[25]  arXiv:2303.09138 [pdf, other]

Title: How do field theories detect the torsion in topological modular forms?

Authors: Daniel Berwick-Evans

Comments: 115 pages

Subjects: Algebraic Topology (math.AT); Mathematical Physics (math-ph)