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Algebraic Topology

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Total of 31 entries
Showing up to 50 entries per page: fewer | more | all

Thu, 14 Nov 2024 (showing 4 of 4 entries )

[1] arXiv:2411.08522 [pdf, html, other]
Title: Digital Euler Characteristic Transform
Henry Kirveslahti, Xiaohan Wang
Subjects: Algebraic Topology (math.AT)
[2] arXiv:2411.08458 [pdf, html, other]
Title: Cellular sheaf Laplacians on the set of simplices of symmetric simplicial set induced by hypergraph
Seongjin Choi, Junyeong Park
Comments: 20 pages, 1 figure
Subjects: Algebraic Topology (math.AT)
[3] arXiv:2411.08201 [pdf, html, other]
Title: Fibers of point cloud persistence
David Beers, Heather A Harrington, Jacob Leygonie, Uzu Lim, Louis Theran
Comments: 33 pages, 8 figures
Subjects: Algebraic Topology (math.AT)
[4] arXiv:2411.08841 (cross-list from math.SG) [pdf, other]
Title: Spectral equivalence of nearby Lagrangians
Johan Asplund, Yash Deshmukh, Alex Pieloch
Comments: 99 pages, no figures. Comments welcome
Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT)

Wed, 13 Nov 2024 (showing 2 of 2 entries )

[5] arXiv:2411.07895 [pdf, html, other]
Title: Homological stability for symplectic groups via algebraic arc complexes
Ismael Sierra, Nathalie Wahl
Subjects: Algebraic Topology (math.AT)
[6] arXiv:2411.07299 [pdf, html, other]
Title: Type IIA String Theory and tmf with Level Structure
Arun Debray, Matthew Yu
Comments: 46 pages
Subjects: Algebraic Topology (math.AT); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

Tue, 12 Nov 2024 (showing 12 of 12 entries )

[7] arXiv:2411.06934 [pdf, html, other]
Title: An algebro-geometric model for the configuration category
Pedro Boavida de Brito, Geoffroy Horel, Danica Kosanović
Comments: 20 pages
Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG)
[8] arXiv:2411.06845 [pdf, html, other]
Title: Separable commutative algebras in equivariant homotopy theory
Niko Naumann, Luca Pol, Maxime Ramzi
Comments: 26 pages
Subjects: Algebraic Topology (math.AT)
[9] arXiv:2411.06670 [pdf, html, other]
Title: A note on the Mac\'ias topology
Jhixon Macías, Reyes Ortiz
Subjects: Algebraic Topology (math.AT)
[10] arXiv:2411.06470 [pdf, html, other]
Title: The $C_2$-equivariant ordinary cohomology of $BT^2$
Steven R. Costenoble, Thomas Hudson
Comments: 45 pages
Subjects: Algebraic Topology (math.AT)
[11] arXiv:2411.06411 [pdf, html, other]
Title: The $C_2$-equivariant ordinary cohomology of $BU(2)$
Steven R. Costenoble, Thomas Hudson
Comments: 34 pages
Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG)
[12] arXiv:2411.06296 [pdf, other]
Title: The Essence of de Rham Cohomology
Alice Petrov
Comments: Expository article, 25 pages, 7 figures
Subjects: Algebraic Topology (math.AT)
[13] arXiv:2411.06132 [pdf, html, other]
Title: Visually-friendly manifolds with arbitrary finite fundamental group
Luca Tanganelli Castrillón
Comments: 7 pages, 2 figures
Subjects: Algebraic Topology (math.AT)
[14] arXiv:2411.06986 (cross-list from cs.CG) [pdf, html, other]
Title: A Sparse Multicover Bifiltration of Linear Size
Ángel Javier Alonso
Comments: 20 pages. Comments welcome
Subjects: Computational Geometry (cs.CG); Algebraic Topology (math.AT)
[15] arXiv:2411.06570 (cross-list from math.AG) [pdf, html, other]
Title: Virtual Localisation Formula for $ SL_{\eta} $-Oriented Theories
Alessandro D'Angelo
Comments: This is part of the author's PhD thesis. Comments are very welcome
Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT)
[16] arXiv:2411.06504 (cross-list from math.AG) [pdf, html, other]
Title: KW-Euler Classes via Twisted Symplectic Bundles
Alessandro D'Angelo
Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT); K-Theory and Homology (math.KT)
[17] arXiv:2411.06005 (cross-list from math.GR) [pdf, html, other]
Title: Una visi\'on local de los grupos finitos
José Cantarero
Comments: 26 pages, no figures, in Spanish
Subjects: Group Theory (math.GR); Algebraic Topology (math.AT)
[18] arXiv:2411.05995 (cross-list from math.LO) [pdf, html, other]
Title: On cohomology of locally profinite sets
Ko Aoki
Comments: 7 pages
Subjects: Logic (math.LO); Commutative Algebra (math.AC); Algebraic Topology (math.AT); General Topology (math.GN)

Mon, 11 Nov 2024 (showing 6 of 6 entries )

[19] arXiv:2411.05558 [pdf, html, other]
Title: $C$-triviality of manifolds of low dimensions
Shubham Sharma, Animesh Renanse
Comments: 13 pages
Subjects: Algebraic Topology (math.AT)
[20] arXiv:2411.05467 [pdf, other]
Title: A symmetric monoidal fracture square
Niko Naumann, Luca Pol, Maxime Ramzi
Comments: 40 pages; all comments welcome!
Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); Category Theory (math.CT)
[21] arXiv:2411.05724 (cross-list from math.SG) [pdf, html, other]
Title: Noncommutativity of monotone Lagrangian cobordisms
Vardan Oganesyan
Comments: 14 pages
Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT)
[22] arXiv:2411.05678 (cross-list from math.MG) [pdf, html, other]
Title: Relative Optimal Transport
Peter Bubenik, Alex Elchesen
Comments: 32 pages, first announced September 2023, comments welcome
Subjects: Metric Geometry (math.MG); Algebraic Topology (math.AT); Functional Analysis (math.FA); Optimization and Control (math.OC); Probability (math.PR)
[23] arXiv:2411.05604 (cross-list from math.GT) [pdf, html, other]
Title: Strongly chiral rational homology spheres with hyperbolic fundamental groups
Christoforos Neofytidis
Comments: 13 pages
Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT); Group Theory (math.GR)
[24] arXiv:2411.05443 (cross-list from cs.CG) [pdf, html, other]
Title: ClusterGraph: a new tool for visualization and compression of multidimensional data
Paweł Dłotko, Davide Gurnari, Mathis Hallier, Anna Jurek-Loughrey
Comments: 19 pages, 8 figures
Subjects: Computational Geometry (cs.CG); Algebraic Topology (math.AT); Machine Learning (stat.ML)

Fri, 8 Nov 2024 (showing 7 of 7 entries )

[25] arXiv:2411.04870 [pdf, other]
Title: Manifold Diagrams for Higher Categories
Lukas Heidemann
Comments: originally submitted version, before corrections
Subjects: Algebraic Topology (math.AT); Logic in Computer Science (cs.LO); Category Theory (math.CT)
[26] arXiv:2411.04800 [pdf, html, other]
Title: Configuration spaces of circles in the plane
Justin Curry, Ryan Gelnett, Matthew C. B. Zaremsky
Comments: 27 pages, 13 figures
Subjects: Algebraic Topology (math.AT); Group Theory (math.GR); Geometric Topology (math.GT)
[27] arXiv:2411.04743 [pdf, other]
Title: Trace methods for stable categories I: The linear approximation of algebraic K-theory
Yonatan Harpaz, Thomas Nikolaus, Victor Saunier
Subjects: Algebraic Topology (math.AT); K-Theory and Homology (math.KT)
[28] arXiv:2411.04572 [pdf, other]
Title: A notion of homotopy for directed graphs and their flag complexes
Thomas Chaplin, Heather A. Harrington, Ulrike Tillmann
Subjects: Algebraic Topology (math.AT)
[29] arXiv:2411.04362 [pdf, html, other]
Title: A Categorical Approach to M\"obius Inversion via Derived Functors
Alex Elchesen, Amit Patel
Comments: 23 pages
Subjects: Algebraic Topology (math.AT); Combinatorics (math.CO); Category Theory (math.CT); K-Theory and Homology (math.KT)
[30] arXiv:2411.04614 (cross-list from math.KT) [pdf, html, other]
Title: Crossed modules and cohomology of algebras over an operad
Johan Leray, Salim Rivière, Friedrich Wagemann
Comments: 21 pages
Subjects: K-Theory and Homology (math.KT); Algebraic Topology (math.AT); Category Theory (math.CT)
[31] arXiv:2411.04463 (cross-list from math.GT) [pdf, html, other]
Title: Morse inequalities for noncompact manifolds
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
Comments: 28 pages
Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT); Differential Geometry (math.DG)
Total of 31 entries
Showing up to 50 entries per page: fewer | more | all