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Algebraic Topology

Authors and titles for recent submissions

[ total of 21 entries: 1-21 ]
[ showing up to 25 entries per page: fewer | more ]

Fri, 1 Mar 2024

[1]  arXiv:2402.19291 [pdf, ps, other]
Title: A Dold-Kan Equivalence for Crossed Simplicial Groups
Subjects: Algebraic Topology (math.AT); Category Theory (math.CT)
[2]  arXiv:2402.18914 [pdf, ps, other]
Title: Smooth Structures on $M^n\times\mathbb{S}^k$
Subjects: Algebraic Topology (math.AT)
[3]  arXiv:2402.19077 (cross-list from math.CO) [pdf, ps, other]
Title: The operad of Latin hypercubes
Subjects: Combinatorics (math.CO); Algebraic Topology (math.AT); Representation Theory (math.RT)

Thu, 29 Feb 2024

[4]  arXiv:2402.18524 [pdf, ps, other]
Title: On properties of effective topological complexity and effective Lusternik-Schnirelmann category
Comments: 29 pages, 1 figure. Preliminary version, comments are much welcomed!
Subjects: Algebraic Topology (math.AT)
[5]  arXiv:2402.18168 [pdf, other]
Title: Explicit Quillen models for Cartesian products of $2$-cones
Comments: 28 pages
Subjects: Algebraic Topology (math.AT)
[6]  arXiv:2402.18118 [pdf, other]
Title: Sectional category à la Quillen
Comments: 6 pages
Subjects: Algebraic Topology (math.AT)
[7]  arXiv:2402.17921 [pdf, other]
Title: Model Structures on Infinity-Categories of Filtrations
Authors: Colin Aitken
Comments: 47 pages
Subjects: Algebraic Topology (math.AT)
[8]  arXiv:2402.18473 (cross-list from hep-th) [pdf, other]
Title: Flux Quantization
Comments: 34+6 pages, many figures, commissioned for the Encyclopedia of Mathematical Physics 2nd ed
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Topology (math.AT); Differential Geometry (math.DG); K-Theory and Homology (math.KT)
[9]  arXiv:2402.18228 (cross-list from math.KT) [pdf, ps, other]
Title: $E$-theory is compactly assembled
Comments: 103 pages
Subjects: K-Theory and Homology (math.KT); Algebraic Topology (math.AT); Operator Algebras (math.OA)

Wed, 28 Feb 2024

[10]  arXiv:2402.17519 [pdf, other]
Title: Chromatic defect, Wood's theorem, and higher real $K$-theories
Comments: Comments welcome
Subjects: Algebraic Topology (math.AT)
[11]  arXiv:2402.17203 [pdf, ps, other]
Title: Nonstandard diffeology and generalized functions
Comments: This is a corrected and enhanced version of the article entitled "Generalized maps between diffeological spaces" (arXiv:2002.11339). The tille is changed to reflect its content better
Subjects: Algebraic Topology (math.AT)

Tue, 27 Feb 2024

[12]  arXiv:2402.15850 [pdf, ps, other]
Title: $\mathbb{E}_{\infty}$-coalgebras and $p$-adic homotopy theory
Comments: 19 pages
Subjects: Algebraic Topology (math.AT)
[13]  arXiv:2402.16794 (cross-list from math.SG) [pdf, other]
Title: BV bialgebra structures in Floer theory and string topology
Comments: 76 pages, including 1 appendix
Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT); Quantum Algebra (math.QA)
[14]  arXiv:2402.16624 (cross-list from math.RT) [pdf, ps, other]
Title: Local characterization of block-decomposability for 3-parameter persistence modules
Comments: 22 pages; abstract has been corrected, as the presented proof does hold in the general setting of pointwise finite-dimensional modules over products of arbitrary totally ordered sets, not just in the finite poset setting
Subjects: Representation Theory (math.RT); Algebraic Topology (math.AT)
[15]  arXiv:2402.16346 (cross-list from cs.LG) [pdf, other]
Title: Boosting Graph Pooling with Persistent Homology
Subjects: Machine Learning (cs.LG); Algebraic Topology (math.AT)
[16]  arXiv:2402.16167 (cross-list from math.GT) [pdf, other]
Title: A note on homotopy and pseudoisotopy of diffeomorphisms of $4$-manifolds
Comments: 5 pages
Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT)
[17]  arXiv:2402.15906 (cross-list from math.AG) [pdf, ps, other]
Title: Motivic Toda brackets
Authors: Xiaowen Dong
Comments: 105 pages. Comments welcome!
Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT)
[18]  arXiv:2402.15714 (cross-list from math.CO) [pdf, ps, other]
Title: Mapping fiber, loop and suspension graphs in naive discrete homotopy theory
Authors: So Yamagata
Subjects: Combinatorics (math.CO); Algebraic Topology (math.AT)
[19]  arXiv:2402.15624 (cross-list from math.GT) [pdf, ps, other]
Title: Multiplicative property of the twisted Reidemeister torsion on the connected sum of compact $3$-manifolds
Comments: 7 pages
Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT)

Mon, 26 Feb 2024

[20]  arXiv:2402.15058 [pdf, other]
Title: Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
Subjects: Algebraic Topology (math.AT); Computational Geometry (cs.CG); Machine Learning (cs.LG)
[21]  arXiv:2402.14986 (cross-list from math.KT) [pdf, ps, other]
Title: A combinatorial $K$-theory perspective on the Edge Reconstruction Conjecture in graph theory
Comments: 22 pages. Comments welcome!
Subjects: K-Theory and Homology (math.KT); Algebraic Topology (math.AT); Combinatorics (math.CO)
[ total of 21 entries: 1-21 ]
[ showing up to 25 entries per page: fewer | more ]

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