Algebraic Topology

Authors and titles for recent submissions

• Fri, 22 Nov 2024
• Thu, 21 Nov 2024
• Wed, 20 Nov 2024
• Tue, 19 Nov 2024
• Mon, 18 Nov 2024

See today's new changes

Fri, 22 Nov 2024 (showing 5 of 5 entries )

[1] arXiv:2411.14161 [pdf, other]

Title: Complex line fields on almost-complex manifolds

Nikola Sadovek, Baylee Schutte

Comments: 42 pages, 6 figures

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

[2] arXiv:2411.13887 [pdf, html, other]

Title: A cohomology-based Gromov-Hausdorff metric approach for quantifying molecular similarity

JunJie Wee, Xue Gong, Wilderich Tuschmann, Kelin Xia

Comments: 14 pages, 3 figures

Subjects: Algebraic Topology (math.AT); Materials Science (cond-mat.mtrl-sci); Computational Geometry (cs.CG); Metric Geometry (math.MG); Machine Learning (stat.ML)

[3] arXiv:2411.14396 (cross-list from hep-th) [pdf, other]

Title: Topological Twisting of 4d $\mathcal{N}=2$ Supersymmetric Field Theories

Gregory W. Moore, Vivek Saxena, Ranveer Kumar Singh

Comments: 46 pages + appendices = 97 pages, 4 figures

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Topology (math.AT); Differential Geometry (math.DG); Geometric Topology (math.GT)

[4] arXiv:2411.14390 (cross-list from cond-mat.dis-nn) [pdf, html, other]

Title: Persistent Homology for Structural Characterization in Disordered Systems

An Wang, Li Zou

Comments: 19 pages, 17 figures

Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Materials Science (cond-mat.mtrl-sci); Machine Learning (cs.LG); Mathematical Physics (math-ph); Algebraic Topology (math.AT)

[5] arXiv:2411.14036 (cross-list from math.CO) [pdf, html, other]

Title: Simplicial vs. cubical spheres, polyhedral products and the Nevo-Petersen conjecture

Ivan Limonchenko, Rade Živaljević

Comments: 23 pages, 4 figures

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

Thu, 21 Nov 2024 (showing 3 of 3 entries )

[6] arXiv:2411.13272 [pdf, html, other]

Title: Geometric invariants of locally compact groups: the homological perspective

Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha

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

[7] arXiv:2411.13233 [pdf, html, other]

Title: A Nielsen type periodic number for maps over $B$

Weslem Liberato Silva, Rafael Moreira de Souza

Subjects: Algebraic Topology (math.AT)

[8] arXiv:2411.12890 [pdf, html, other]

Title: Product formulas for motivic Milnor basis

Hana Jia Kong, Weinan Lin

Comments: 7 pages, comments welcome!

Subjects: Algebraic Topology (math.AT)

Wed, 20 Nov 2024 (showing 1 of 1 entries )

[9] arXiv:2411.11993 [pdf, html, other]

Title: On the geometric fixed points of the real topological cyclic homology of $\mathbb{Z}/4$

Thomas Read

Comments: 44 pages

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

Tue, 19 Nov 2024 (showing 5 of 5 entries )

[10] arXiv:2411.11776 [pdf, html, other]

Title: Cohomology of coloured partition algebras

James Cranch, Daniel Graves

Comments: 11 pages

Subjects: Algebraic Topology (math.AT)

[11] arXiv:2411.10567 [pdf, html, other]

Title: Teor\'ia de homotop\'ia usando conjuntos simpliciales

Mathilda Campillo, Angélica Osorno, Manuel Rivera

Comments: in Spanish language

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

[12] arXiv:2411.11594 (cross-list from math.RT) [pdf, other]

Title: Interval Multiplicities of Persistence Modules

Hideto Asashiba (1, 2 and 3), Enhao Liu (4) ((1) Department of Mathematics, Shizuoka University, (2) Osaka Central Advanced Mathematical Institute, Osaka Metropolitan University, (3) Institute for Advanced Study, Kyoto University, (4) Department of Mathematics, Kyoto University)

Comments: 39 pages. We extended the definition of the multiplicity of an indecomposable module in the persistence module to that of a decomposable module, and slightly changed the definition of essential covering by removing the indecomposable assumption on $R(V_I)$ that appeared in the previous version

Subjects: Representation Theory (math.RT); Algebraic Topology (math.AT); Rings and Algebras (math.RA)

[13] arXiv:2411.10987 (cross-list from math.CO) [pdf, html, other]

Title: Bounding the Chromatic Number via High Dimensional Embedding

Qiming Fang, Sihong Shao

Comments: 19 pages, 12 figures

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

[14] arXiv:2411.10530 (cross-list from math.CT) [pdf, other]

Title: Symmetric Monoidal Bicategories and Biextensions

Ettore Aldrovandi, Milind Gunjal

Comments: 27 pages. Preliminary version, comments welcome!

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

Mon, 18 Nov 2024 (showing 5 of 5 entries )

[15] arXiv:2411.10120 [pdf, html, other]

Title: Homotopical recognition of diagram categories

Boris Chorny, David White

Comments: 17 pages

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

[16] arXiv:2411.09960 [pdf, html, other]

Title: Stable Similarity Comparison of Persistent Homology Groups

Jiaxing He, Bingzhe Hou, Tieru Wu, Yang Cao

Comments: 28 pages, 7 figures, 6 tables

Subjects: Algebraic Topology (math.AT)

[17] arXiv:2411.09797 [pdf, html, other]

Title: Cross-Matched Interval Prevalence of High Dimensional Point Clouds

Jonathan M. Mousley, Paul Bendich

Comments: 10 pages, 10 figures

Subjects: Algebraic Topology (math.AT)

[18] arXiv:2411.10365 (cross-list from math.CO) [pdf, html, other]

Title: Bounds on the connectivity of the independence complexes of hypergraphs

Demet Taylan

Comments: 15 pages

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

[19] arXiv:2411.09857 (cross-list from math.GR) [pdf, html, other]

Title: Proper actions and supported-section-valued cohomology

Alexandru Chirvasitu

Comments: 20 pages + references

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