Algebraic Topology

Authors and titles for math.AT in Sep 2023

[1]  arXiv:2309.00429 [pdf, ps, other]

Title: Cohomology of complete unordered flag manifolds

Authors: Lorenzo Guerra, Santanil Jana

Comments: 37 pages, 2 figures In version 2 the link with representation stability was added and minimal rephrasing and typos correction are performed

Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG)

[2]  arXiv:2309.00577 [pdf, ps, other]

Title: Iterated magnitude homology

Authors: Emily Roff

Comments: 37 pages

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

[3]  arXiv:2309.00850 [pdf, ps, other]

Title: Invariant prime ideals in equivariant Lazard rings

Authors: Markus Hausmann, Lennart Meier

Comments: 43 pages, comments welcome

Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG)

[4]  arXiv:2309.00977 [pdf, ps, other]

Title: Improved stability ranges in the homology of Torelli and congruence subgroups

Authors: Cihan Bahran

Comments: 16 pages

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

[5]  arXiv:2309.01757 [pdf, other]

Title: The homotopy theory of differentiable sheaves

Authors: Adrian Clough

Comments: 100 pages, 1 figure

Subjects: Algebraic Topology (math.AT); Category Theory (math.CT); Differential Geometry (math.DG); Geometric Topology (math.GT); K-Theory and Homology (math.KT)

[6]  arXiv:2309.01991 [pdf, ps, other]

Title: The topology of critical processes, I (Processes and Models)

Authors: Marco Grandis

Comments: 23 pages

Journal-ref: Cah. Topol. Geom. Differ. Categ. 65 (2024), 3-34

Subjects: Algebraic Topology (math.AT)

[7]  arXiv:2309.03142 [pdf, ps, other]

Title: Euler Characteristics and Homotopy Types of Definable Sublevel Sets, with Applications to Topological Data Analysis

Authors: Mattie Ji, Kun Meng, Kexin Ding

Comments: 20 page

Subjects: Algebraic Topology (math.AT); Statistics Theory (math.ST)

[8]  arXiv:2309.03200 [pdf, ps, other]

Title: Real Bott Tower

Authors: Admi Nazra

Comments: Master Thesis 2008 in Tokyo Metropolitan University

Subjects: Algebraic Topology (math.AT)

[9]  arXiv:2309.04275 [pdf, ps, other]

Title: Symmetries of exotic spheres via complex and quaternionic Mahowald invariants

Authors: Boris Botvinnik, J.D. Quigley

Comments: 19 pages. Comments welcome!

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

[10]  arXiv:2309.05024 [pdf, ps, other]

Title: Simplicial bounded cohomology and stability

Authors: Thorben Kastenholz, Robin J. Sroka

Comments: 53 pages. Comments welcome!

Subjects: Algebraic Topology (math.AT); Group Theory (math.GR); Geometric Topology (math.GT)

[11]  arXiv:2309.05039 [pdf, other]

Title: The inverse limit topology and profinite descent on Picard groups in $K(n)$-local homotopy theory

Authors: Guchuan Li, Ningchuan Zhang

Comments: 44 pages. Comments welcome!

Subjects: Algebraic Topology (math.AT)

[12]  arXiv:2309.05170 [pdf, ps, other]

Title: Characteristic Classes of $L$-theory

Authors: Runjie Hu

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

[13]  arXiv:2309.05229 [pdf, ps, other]

Title: Galois Symmetry of Topological Manifolds

Authors: Runjie Hu

Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); Geometric Topology (math.GT)

[14]  arXiv:2309.05231 [pdf, ps, other]

Title: Branched Covering and Profinite Completion

Authors: Runjie Hu

Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); Geometric Topology (math.GT)

[15]  arXiv:2309.05611 [pdf, ps, other]

Title: On actions of tori and quaternionic tori on products of spheres

Authors: Anton Ayzenberg, Dmitry Gugnin

Comments: 10 pages

Subjects: Algebraic Topology (math.AT)

[16]  arXiv:2309.05921 [pdf, ps, other]

Title: Endotrivial modules for the quaternion group and iterated Jokers in chromatic homotopy theory

Authors: Andrew Baker

Comments: Substantial rewrite with minor corrections; additional material and extra references added

Subjects: Algebraic Topology (math.AT)

[17]  arXiv:2309.06063 [pdf, ps, other]

Title: Mayer-Vietoris Sequences for the Constrained Persistent Homology of Simplicial Complexes

Authors: Shiquan Ren

Subjects: Algebraic Topology (math.AT)

[18]  arXiv:2309.07095 [pdf, other]

Title: Directed Homology and Persistence Modules

Authors: Eric Goubault

Subjects: Algebraic Topology (math.AT)

[19]  arXiv:2309.07238 [pdf, ps, other]

Title: Topological rigidity of ${\mathrm{SL}}_2$-quotients

Authors: Dylan Johnston, Dmitriy Rumynin

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

[20]  arXiv:2309.07605 [pdf, ps, other]

Title: On the Passi and the Mal'cev functors

Authors: Geoffrey Powell

Comments: 43 pages. Comments welcome

Subjects: Algebraic Topology (math.AT)

[21]  arXiv:2309.07607 [pdf, ps, other]

Title: On fundamental structure underlying Lie algebra homology with coefficients tensor products of the adjoint representation

Authors: Geoffrey Powell

Comments: 18 pages. Comments welcome

Subjects: Algebraic Topology (math.AT)

[22]  arXiv:2309.08025 [pdf, ps, other]

Title: A linearization map for genuine equivariant algebraic $K$-theory

Authors: Maxine Calle, David Chan, Andres Mejia

Comments: Comments welcome!

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

[23]  arXiv:2309.10466 [pdf, ps, other]

Title: Homologie polygraphique des systèmes locaux

Authors: Léonard Guetta, Georges Maltsiniotis

Comments: 55 pages, in French language

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

[24]  arXiv:2309.11463 [pdf, other]

Title: Algebraic K-theory of real topological K-theory

Authors: Gabriel Angelini-Knoll, Christian Ausoni, John Rognes

Comments: 52 pages, 12 figures, 1 table. Conjecture B from v1 is proved in v2, along with other improvements

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

[25]  arXiv:2309.11579 [pdf, ps, other]

Title: On the quasi polynomiality of extremal homology of configuration spaces

Authors: Muhammad Yameen

Comments: arXiv admin note: text overlap with arXiv:2305.06604

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