Algebraic Topology

Authors and titles for math.AT in Apr 2024

[1]  arXiv:2404.00939 [pdf, ps, other]

Title: Rational Homotopy Theory

Authors: Alexander A. Voronov

Comments: 19 pages, submitted as a chapter in Encyclopedia of Mathematical Physics, 2nd edition

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

[2]  arXiv:2404.01279 [pdf, other]

Title: Lower bounds and integrality gaps in simplicial decomposition

Authors: Matthew Ellison

Comments: 15 pages, 8 figures

Subjects: Algebraic Topology (math.AT); Combinatorics (math.CO)

[3]  arXiv:2404.01323 [pdf, other]

Title: Batalin-Vilkovisky algebra structure on the Hochschild cohomology of $E_\infty$-algebras

Authors: Ismaïl Razack

Comments: 38 pages, comments are welcome. arXiv admin note: substantial text overlap with arXiv:2305.19054

Subjects: Algebraic Topology (math.AT)

[4]  arXiv:2404.01510 [pdf, ps, other]

Title: Homotopy commutativity in quasitoric manifolds

Authors: Sho Hasui, Daisuke Kishimoto, Yichen Tong, Mitsunobu Tsutaya

Comments: 14 pages

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

[5]  arXiv:2404.02536 [pdf, other]

Title: Bipath Persistence

Authors: Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada

Comments: 22 pages

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

[6]  arXiv:2404.02794 [pdf, other]

Title: Multifunctorial Equivariant Algebraic K-Theory

Authors: Donald Yau

Comments: 397 pages

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

[7]  arXiv:2404.03460 [pdf, ps, other]

Title: Intersection Multiplicity in Loop Spaces and the String Topology Coproduct

Authors: Philippe Kupper, Maximilian Stegemeyer

Comments: submitted to the proceedings of the HeKKSaGOn conference

Subjects: Algebraic Topology (math.AT)

[8]  arXiv:2404.03589 [pdf, ps, other]

Title: Homotopy types of diagrams of chain complexes

Authors: David Blanc, Surojit Ghosh, Aziz Kharoof

Subjects: Algebraic Topology (math.AT)

[9]  arXiv:2404.03757 [pdf, ps, other]

Title: Sequential parametrized topological complexity of group epimorphisms

Authors: Navnath Daundkar

Comments: v2: the exposition has been slightly changed

Subjects: Algebraic Topology (math.AT)

[10]  arXiv:2404.04470 [pdf, ps, other]

Title: Sectional Category and the parametrized Borsuk-Ulam property

Authors: Cesar A. Ipanaque Zapata, Daciberg L. Gonçalves

Comments: 20 pages. Comments are welcome

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

[11]  arXiv:2404.05573 [pdf, other]

Title: The algebraic Novikov spectral sequence for topological modular forms

Authors: J. Francis Baer

Comments: 27 pages, 5 figures. Comments welcome!

Subjects: Algebraic Topology (math.AT)

[12]  arXiv:2404.05588 [pdf, ps, other]

Title: Cohomology ring of non-compact abelian arrangements

Authors: Evienia Bazzocchi, Roberto Pagaria, Maddalena Pismataro

Comments: 20 pages, 4 figures

Subjects: Algebraic Topology (math.AT); Combinatorics (math.CO)

[13]  arXiv:2404.06263 [pdf, ps, other]

Title: The walled Brauer category and stable cohomology of $\mathrm{IA}_n$

Authors: Erik Lindell

Comments: 36 pages. Appendix by Mai Katada

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

[14]  arXiv:2404.06333 [pdf, other]

Title: On the 576-fold periodicity of the spectrum SQFT: The proof of the lower bound via the Anderson duality pairing

Authors: Theo Johnson-Freyd, Mayuko Yamashita

Comments: 30 pages

Subjects: Algebraic Topology (math.AT); High Energy Physics - Theory (hep-th)

[15]  arXiv:2404.06573 [pdf, other]

Title: Lefschetz fixed-object and fixed-morphism theorems for acyclic categories

Authors: Samuel Castelo-Mourelle, Enrique Macías-Virgós, David Mosquera-Lois

Comments: 8 pages with 3 figures

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

[16]  arXiv:2404.06689 [pdf, ps, other]

Title: Bigraded path homology and the magnitude-path spectral sequence

Authors: Richard Hepworth, Emily Roff

Comments: 57 pages

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

[17]  arXiv:2404.06763 [pdf, ps, other]

Title: On the rank of the double cohomology of moment-angle complexes

Authors: Zhilei Zhang

Comments: 12 pages

Subjects: Algebraic Topology (math.AT)

[18]  arXiv:2404.07184 [pdf, ps, other]

Title: Homology of Moment Frames

Authors: Zoe Cooperband, Allan McRobie, Cameron Millar, Bernd Schulze

Comments: 5 figures, submitted to IASS 2024 conference

Subjects: Algebraic Topology (math.AT)

[19]  arXiv:2404.08874 [pdf, ps, other]

Title: Semi-coarse Spaces: Fundamental Groupoid and the van Kampen Theorem

Authors: Jonathan Treviño-Marroquín

Comments: 32 pages, 9 figures

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

[20]  arXiv:2404.09229 [pdf, ps, other]

Title: A stable splitting for spaces of commuting elements in unitary groups

Authors: Alejandro Adem, José Manuel Gómez, Simon Gritschacher

Subjects: Algebraic Topology (math.AT)

[21]  arXiv:2404.09867 [pdf, other]

Title: Nontrivial Massey products on compact Kähler manifolds

Authors: Giovanni Placini, Jonas Stelzig, Leopold Zoller

Comments: 10 pages, 2 figures

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

[22]  arXiv:2404.10062 [pdf, other]

Title: New infinite families in the stable homotopy groups of spheres

Authors: Prasit Bhattacharya, Irina Bobkova, J.D. Quigley

Subjects: Algebraic Topology (math.AT)

[23]  arXiv:2404.10639 [pdf, ps, other]

Title: Homology operations for gravity algebras

Authors: Tommaso Rossi

Comments: 27 pages, 2 figures. Comments are welcome!

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

[24]  arXiv:2404.10724 [pdf, ps, other]

Title: The Topological Cartier--Raynaud Ring

Authors: Konrad Bals

Comments: Comments welcome!

Subjects: Algebraic Topology (math.AT)

[25]  arXiv:2404.11711 [pdf, other]

Title: The topological complexity of the ordered configuration space of disks in a strip

Authors: Nicholas Wawrykow

Comments: 9 pages, 3 figures

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