Algebraic Topology

Authors and titles for math.AT in Feb 2023

[1]  arXiv:2302.00151 [pdf, other]

Title: Formalising and Computing the Fourth Homotopy Group of the $3$-Sphere in Cubical Agda

Authors: Axel Ljungström, Anders Mörtberg

Subjects: Algebraic Topology (math.AT); Logic in Computer Science (cs.LO)

[2]  arXiv:2302.00468 [pdf, ps, other]

Title: LS-category and topological complexity of several families of fibre bundles

Authors: Navnath Daundkar, Soumen Sarkar

Comments: Several minor changes have been made and Example 4.5 has been removed. Comments are welcome

Subjects: Algebraic Topology (math.AT)

[3]  arXiv:2302.01017 [pdf, ps, other]

Title: The space of commuting elements in a Lie group and maps between classifying spaces

Authors: Daisuke Kishimoto, Masahiro Takeda, Mitsunobu Tsutaya

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

[4]  arXiv:2302.01490 [pdf, ps, other]

Title: The $RO(C_{2^n})$-graded homotopy of $H\underline{\mathbb{F}_2}$

Authors: Guoqi Yan

Comments: 12 pages

Subjects: Algebraic Topology (math.AT)

[5]  arXiv:2302.01583 [pdf, other]

Title: Topological fundamental groupoid. I

Authors: Rohit Dilip Holkar, Md Amir Hossain

Comments: Added one reference in the introduction and a remark after Theorem 2.21; and removed Example 2.25 in the earlier version

Subjects: Algebraic Topology (math.AT)

[6]  arXiv:2302.02058 [pdf, other]

Title: Toric orbit spaces which are manifolds

Authors: Anton Ayzenberg, Vladimir Gorchakov

Comments: 20 pages, 1 figure, 2 appendix sections

Subjects: Algebraic Topology (math.AT); Mathematical Physics (math-ph); Combinatorics (math.CO); History and Overview (math.HO)

[7]  arXiv:2302.02301 [pdf, ps, other]

Title: Smooth structures on PL-manifolds of dimensions between 8 and 10

Authors: Samik Basu, Ramesh Kasilingam, Priyanka Magar-Sawant

Comments: 22 pages

Subjects: Algebraic Topology (math.AT)

[8]  arXiv:2302.02532 [pdf, ps, other]

Title: Tight complexes are Golod

Authors: Kouyemon Iriye, Daisuke Kishimoto

Comments: 17 pages, minor corrections

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

[9]  arXiv:2302.03902 [pdf, ps, other]

Title: The algebraic stability for persistent Laplacians

Authors: Jian Liu, Jingyan Li, Jie Wu

Subjects: Algebraic Topology (math.AT)

[10]  arXiv:2302.04346 [pdf, ps, other]

Title: On the stabilization of the topological complexity of graph braid groups

Authors: Ben Knudsen

Comments: 15 pages

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

[11]  arXiv:2302.05509 [pdf, other]

Title: An $E_\infty$ structure on the matroid grassmannian

Authors: Jeffrey Giansiracusa

Comments: 14 pages

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

[12]  arXiv:2302.05591 [pdf, ps, other]

Title: 2-local unstable homotopy groups of indecomposable $\mathbf{A}_3^2$ -complexes

Authors: Zhongjian Zhu, Jianzhong Pan

Subjects: Algebraic Topology (math.AT)

[13]  arXiv:2302.05600 [pdf, other]

Title: Persistent Homology to Study Cold Hardiness of Grape Cultivars

Authors: Sejal Welankar, Paola Pesantez-Cabrera, Bala Krishnamoorthy, Lynn Mills, Markus Keller, Ananth Kalyanaraman

Comments: 5 pages, 12 figures, AAAI 2023 Workshop AIAFS

Subjects: Algebraic Topology (math.AT)

[14]  arXiv:2302.06207 [pdf, ps, other]

Title: Global model categories and topological André-Quillen cohomology

Authors: Tobias Lenz, Michael Stahlhauer

Comments: 71 pages

Subjects: Algebraic Topology (math.AT)

[15]  arXiv:2302.06380 [pdf, other]

Title: Topological complexity of Khalimsky circles

Authors: Ryusei Yoshise

Comments: 15 pages

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

[16]  arXiv:2302.06525 [pdf, ps, other]

Title: On finite generation in magnitude (co)homology, and its torsion

Authors: Luigi Caputi, Carlo Collari

Comments: 16 pages, 3 figures. Comments are welcome!

Subjects: Algebraic Topology (math.AT); Combinatorics (math.CO); Category Theory (math.CT); Representation Theory (math.RT)

[17]  arXiv:2302.06892 [pdf, ps, other]

Title: Relative plus constructions

Authors: Guille Carrion Santiago, Jerome Scherer

Comments: 15 pages; in this revised version the universal property of this relative plus construction is stated

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

[18]  arXiv:2302.06963 [pdf, ps, other]

Title: Rank-preserving additions for topological vector bundles, after a construction of Horrocks

Authors: Morgan Opie

Comments: 21 pages. Small revisions. To appear in AGT

Subjects: Algebraic Topology (math.AT)

[19]  arXiv:2302.07369 [pdf, ps, other]

Title: Models for configuration spaces of points via obstruction theory I

Authors: Thomas Willwacher

Subjects: Algebraic Topology (math.AT); Quantum Algebra (math.QA)

[20]  arXiv:2302.07391 [pdf, other]

Title: Topological proofs of categorical coherence

Authors: Pierre-Louis Curien, Guillaume Laplante-Anfossi

Comments: 23 pages, 5 figures. Substantial improvements: new Lemma 1.7, new section on rewriting, new section on Kapranov vs Mac Lane coherence for symmetric monoidal categories, improved exposition, updated references, to appear in Cahiers de topologie et g\'eom\'etrie diff\'erentielle cat\'egoriques

Subjects: Algebraic Topology (math.AT); Combinatorics (math.CO); Category Theory (math.CT); Quantum Algebra (math.QA)

[21]  arXiv:2302.07686 [pdf, ps, other]

Title: Polygonic spectra and TR with coefficients

Authors: Achim Krause, Jonas McCandless, Thomas Nikolaus

Comments: 61 pages, comments are welcome

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

[22]  arXiv:2302.08492 [pdf, ps, other]

Title: Formality of hypercommutative algebras of Kähler and Calabi-Yau manifolds

Authors: Joana Cirici, Geoffroy Horel

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

[23]  arXiv:2302.08574 [pdf, ps, other]

Title: Comparison of equivariant cohomological dimensions

Authors: Mark Grant, Kevin Li, Ehud Meir, Irakli Patchkoria

Comments: 21 pages

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

[24]  arXiv:2302.08919 [pdf, other]

Title: Pluripotential Homotopy Theory

Authors: Jonas Stelzig

Comments: Comments welcome!

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

[25]  arXiv:2302.08949 [pdf, ps, other]

Title: Equivariant Trees and Partition Complexes

Authors: Julia E. Bergner, Peter Bonventre, Maxine E. Calle, David Chan, Maru Sarazola

Comments: 36 pages. Comments welcome!

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