Algebraic Topology

Authors and titles for math.AT in Sep 2023

[1]  arXiv:2309.00429 [pdf, ps, other]

Title: Cohomology of complete unordered flag manifolds

Authors: Lorenzo Guerra, Santanil Jana

Comments: 37 pages, 2 figures In version 2 the link with representation stability was added and minimal rephrasing and typos correction are performed

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

[2]  arXiv:2309.00577 [pdf, ps, other]

Title: Iterated magnitude homology

Authors: Emily Roff

Comments: 37 pages

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

[3]  arXiv:2309.00850 [pdf, ps, other]

Title: Invariant prime ideals in equivariant Lazard rings

Authors: Markus Hausmann, Lennart Meier

Comments: 43 pages, comments welcome

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

[4]  arXiv:2309.00977 [pdf, ps, other]

Title: Improved stability ranges in the homology of Torelli and congruence subgroups

Authors: Cihan Bahran

Comments: 16 pages

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

[5]  arXiv:2309.01757 [pdf, other]

Title: The homotopy theory of differentiable sheaves

Authors: Adrian Clough

Comments: 100 pages, 1 figure

Subjects: Algebraic Topology (math.AT); Category Theory (math.CT); Differential Geometry (math.DG); Geometric Topology (math.GT); K-Theory and Homology (math.KT)

[6]  arXiv:2309.01991 [pdf, ps, other]

Title: The topology of critical processes, I (Processes and Models)

Authors: Marco Grandis

Comments: 23 pages

Journal-ref: Cah. Topol. Geom. Differ. Categ. 65 (2024), 3-34

Subjects: Algebraic Topology (math.AT)

[7]  arXiv:2309.03142 [pdf, ps, other]

Title: Euler Characteristics and Homotopy Types of Definable Sublevel Sets, with Applications to Topological Data Analysis

Authors: Mattie Ji, Kun Meng, Kexin Ding

Comments: 20 page

Subjects: Algebraic Topology (math.AT); Statistics Theory (math.ST)

[8]  arXiv:2309.03200 [pdf, ps, other]

Title: Real Bott Tower

Authors: Admi Nazra

Comments: Master Thesis 2008 in Tokyo Metropolitan University

Subjects: Algebraic Topology (math.AT)

[9]  arXiv:2309.04275 [pdf, ps, other]

Title: Symmetries of exotic spheres via complex and quaternionic Mahowald invariants

Authors: Boris Botvinnik, J.D. Quigley

Comments: 19 pages. Comments welcome!

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

[10]  arXiv:2309.05024 [pdf, ps, other]

Title: Simplicial bounded cohomology and stability

Authors: Thorben Kastenholz, Robin J. Sroka

Comments: 53 pages. Comments welcome!

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

[11]  arXiv:2309.05039 [pdf, other]

Title: The inverse limit topology and profinite descent on Picard groups in $K(n)$-local homotopy theory

Authors: Guchuan Li, Ningchuan Zhang

Comments: 44 pages. Comments welcome!

Subjects: Algebraic Topology (math.AT)

[12]  arXiv:2309.05170 [pdf, ps, other]

Title: Characteristic Classes of $L$-theory

Authors: Runjie Hu

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

[13]  arXiv:2309.05229 [pdf, ps, other]

Title: Galois Symmetry of Topological Manifolds

Authors: Runjie Hu

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

[14]  arXiv:2309.05231 [pdf, ps, other]

Title: Branched Covering and Profinite Completion

Authors: Runjie Hu

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

[15]  arXiv:2309.05611 [pdf, ps, other]

Title: On actions of tori and quaternionic tori on products of spheres

Authors: Anton Ayzenberg, Dmitry Gugnin

Comments: 10 pages

Subjects: Algebraic Topology (math.AT)

[16]  arXiv:2309.05921 [pdf, ps, other]

Title: Endotrivial modules for the quaternion group and iterated Jokers in chromatic homotopy theory

Authors: Andrew Baker

Comments: Substantial rewrite with minor corrections; additional material and extra references added

Subjects: Algebraic Topology (math.AT)

[17]  arXiv:2309.06063 [pdf, ps, other]

Title: Mayer-Vietoris Sequences for the Constrained Persistent Homology of Simplicial Complexes

Authors: Shiquan Ren

Subjects: Algebraic Topology (math.AT)

[18]  arXiv:2309.07095 [pdf, other]

Title: Directed Homology and Persistence Modules

Authors: Eric Goubault

Subjects: Algebraic Topology (math.AT)

[19]  arXiv:2309.07238 [pdf, ps, other]

Title: Topological rigidity of ${\mathrm{SL}}_2$-quotients

Authors: Dylan Johnston, Dmitriy Rumynin

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

[20]  arXiv:2309.07605 [pdf, ps, other]

Title: On the Passi and the Mal'cev functors

Authors: Geoffrey Powell

Comments: 43 pages. Comments welcome

Subjects: Algebraic Topology (math.AT)

[21]  arXiv:2309.07607 [pdf, ps, other]

Title: On fundamental structure underlying Lie algebra homology with coefficients tensor products of the adjoint representation

Authors: Geoffrey Powell

Comments: 18 pages. Comments welcome

Subjects: Algebraic Topology (math.AT)

[22]  arXiv:2309.08025 [pdf, ps, other]

Title: A linearization map for genuine equivariant algebraic $K$-theory

Authors: Maxine Calle, David Chan, Andres Mejia

Comments: Comments welcome!

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

[23]  arXiv:2309.10466 [pdf, ps, other]

Title: Homologie polygraphique des systèmes locaux

Authors: Léonard Guetta, Georges Maltsiniotis

Comments: 55 pages, in French language

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

[24]  arXiv:2309.11463 [pdf, other]

Title: Algebraic K-theory of real topological K-theory

Authors: Gabriel Angelini-Knoll, Christian Ausoni, John Rognes

Comments: 52 pages, 12 figures, 1 table. Conjecture B from v1 is proved in v2, along with other improvements

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

[25]  arXiv:2309.11579 [pdf, ps, other]

Title: On the quasi polynomiality of extremal homology of configuration spaces

Authors: Muhammad Yameen

Comments: arXiv admin note: text overlap with arXiv:2305.06604

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

[26]  arXiv:2309.12127 [pdf, other]

Title: Compact sheaves on a locally compact space

Authors: Oscar Harr

Comments: corrects Lemma 3.2

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

[27]  arXiv:2309.12198 [pdf, ps, other]

Title: On aspherical configuration Lie groupoids

Authors: S K Roushon

Comments: 14p. arXiv admin note: substantial text overlap with arXiv:2106.08110

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

[28]  arXiv:2309.12661 [pdf, ps, other]

Title: Homotopy commutativity in symmetric spaces

Authors: Daisuke Kishimoto, Yuki Minowa, Toshiyuki Miyauchi, Yichen Tong

Comments: 11pages

Subjects: Algebraic Topology (math.AT)

[29]  arXiv:2309.12734 [pdf, ps, other]

Title: On the Non-Existence of J-Homomorphisms of Higher Height

Authors: Shachar Carmeli

Comments: 14 pages, comments are welcome!

Subjects: Algebraic Topology (math.AT)

[30]  arXiv:2309.13423 [pdf, ps, other]

Title: Minimal invariant triangulations of spaces with respect to a finite group action

Authors: Dejan Govc, Waclaw Marzantowicz, Petar Pavesic

Subjects: Algebraic Topology (math.AT)

[31]  arXiv:2309.13740 [pdf, ps, other]

Title: Complex Vasquez invariant

Authors: Anna Gąsior, Rafał Lutowski

Subjects: Algebraic Topology (math.AT)

[32]  arXiv:2309.14650 [pdf, ps, other]

Title: A proof of the generalized geometric boundary theorem using filtered spectra

Authors: Sihao Ma

Subjects: Algebraic Topology (math.AT)

[33]  arXiv:2309.15055 [pdf, ps, other]

Title: Triple delooping for multiplicative hyperoperads

Authors: Florian De Leger, Maroš Grego

Subjects: Algebraic Topology (math.AT)

[34]  arXiv:2309.15058 [pdf, ps, other]

Title: Monoidal Structures in Orthogonal Calculus

Authors: Leon Hendrian

Comments: 81 pages, essentially identical to the authors PhD thesis v2: corrected a comment about the topological/cotopological factorisation of the localisation maps

Subjects: Algebraic Topology (math.AT)

[35]  arXiv:2309.15089 [pdf, other]

Title: Equivariant Floer homotopy via Morse-Bott theory

Authors: Laurent Côté, Yusuf Barış Kartal

Comments: 51 pages, 2 figures. Comments are welcome

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

[36]  arXiv:2309.16142 [pdf, ps, other]

Title: On the Steenrod module structure of $\mathbb{R}$-motivic Spanier-Whitehead duals

Authors: Prasit Bhattacharya, Bertrand J. Guillou, Ang Li

Comments: Some minor typos fixed. 15 pages. Submitted version

Subjects: Algebraic Topology (math.AT)

[37]  arXiv:2309.16481 [pdf, ps, other]

Title: Steenrod operations via higher Bruhat orders

Authors: Guillaume Laplante-Anfossi, Nicholas J. Williams

Comments: 29 pages, 3 figures

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

[38]  arXiv:2309.16605 [pdf, ps, other]

Title: One point compactifications of configuration spaces and the self duality of the little disks operad

Authors: Connor Malin

Comments: 14 pages

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

[39]  arXiv:2309.16619 [pdf, other]

Title: Cubical Approximation for Directed Topology II

Authors: Sanjeevi Krishnan

Comments: 54 pages, 1 illustration, submission

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

[40]  arXiv:2309.16771 [pdf, other]

Title: Topological properties of closed $\widetilde{\mathrm{G}}_2$, $\mathrm{SL}(3;\mathbb{C})$ and $\mathrm{SL}(3;\mathbb{R})^2$ forms on manifolds

Authors: Laurence H. Mayther

Comments: 22 pages

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

[41]  arXiv:2309.17148 [pdf, other]

Title: Configuration spaces of labeled points on a circle with two anchors

Authors: Dmitry N. Kozlov

Journal-ref: Topology Appl. 315 (2022), Paper No. 10817, 18 pp

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

[42]  arXiv:2309.17149 [pdf, ps, other]

Title: Homology and Euler characteristic of generalized anchored configuration spaces of graphs

Authors: Dmitry N. Kozlov

Comments: Preprint 9 pages, submitted for publication

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

[43]  arXiv:2309.17242 [pdf, ps, other]

Title: On the structure of the $RO(G)$-graded homotopy of $H\underline{M}$ for cyclic $p$-groups

Authors: Igor Sikora, Guoqi Yan

Comments: 33 pages. Initial version, comments more than welcome!

Subjects: Algebraic Topology (math.AT)

[44]  arXiv:2309.00337 (cross-list from math.CT) [pdf, ps, other]

Title: Colimits of categories, zig-zags and necklaces

Authors: Redi Haderi

Comments: 29 pages, comments and corrections are welcome

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

[45]  arXiv:2309.02344 (cross-list from math.GR) [pdf, ps, other]

Title: On the commutator length of compact Lie groups

Authors: Juan Omar Gómez, Victor Torres-Castillo, Bernardo Villarreal

Comments: 6 pages, comments welcome!

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

[46]  arXiv:2309.03181 (cross-list from math.NT) [pdf, ps, other]

Title: Prisms and Tambara functors I: Twisted powers, transversality, and the perfect sandwich

Authors: Yuri J. F. Sulyma

Comments: 32 pages; v2: fix typos and add/expand some remarks

Subjects: Number Theory (math.NT); Algebraic Topology (math.AT)

[47]  arXiv:2309.05216 (cross-list from math.CT) [pdf, ps, other]

Title: 2-derivators

Authors: Nicola Di Vittorio

Comments: 48 pages

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

[48]  arXiv:2309.05456 (cross-list from math.NT) [pdf, other]

Title: Top-degree rational cohomology in the symplectic group of a number ring

Authors: Benjamin Brück, Zachary Himes

Comments: 19 pages, 1 figure

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

[49]  arXiv:2309.06222 (cross-list from math.CO) [pdf, other]

Title: Lower bounds on the homology of Vietoris-Rips complexes of hypercube graphs

Authors: Henry Adams, Žiga Virk

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

[50]  arXiv:2309.06808 (cross-list from math.CO) [pdf, ps, other]

Title: The complex of injective words of permutations which are not derangements is contractible

Authors: Assaf Libman

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

[51]  arXiv:2309.07123 (cross-list from math.KT) [pdf, other]

Title: Descent and Cyclotomic Redshift for Chromatically Localized Algebraic K-theory

Authors: Shay Ben-Moshe, Shachar Carmeli, Tomer M. Schlank, Lior Yanovski

Comments: 66 pages, comments are welcome

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

[52]  arXiv:2309.07379 (cross-list from math.GT) [pdf, ps, other]

Title: A closed manifold is a fat CW complex

Authors: Norio Iwase, Yuki Kojima

Comments: 17 pages

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

[53]  arXiv:2309.08340 (cross-list from math.CT) [pdf, other]

Title: Formalizing the $\infty$-Categorical Yoneda Lemma

Authors: Nikolai Kudasov, Emily Riehl, Jonathan Weinberger

Comments: To appear in CPP 2024

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

[54]  arXiv:2309.08721 (cross-list from math.DG) [pdf, other]

Title: Relative $h$-principles for closed stable forms

Authors: Laurence H. Mayther

Comments: 43 pages

Subjects: Differential Geometry (math.DG); Algebraic Topology (math.AT); Functional Analysis (math.FA); Geometric Topology (math.GT)

[55]  arXiv:2309.09077 (cross-list from math.AG) [pdf, ps, other]

Title: On the Balmer spectrum of Morel-Voevodsky category

Authors: Peng Du, Alexander Vishik

Comments: Remark 8.10 added

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

[56]  arXiv:2309.09576 (cross-list from math.GT) [pdf, ps, other]

Title: Chern-Simons theory and cohomological invariants of representation varieties

Authors: Nicolas Tholozan

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

[57]  arXiv:2309.09761 (cross-list from math.CT) [pdf, other]

Title: Some remarks on higher Morita categories

Authors: Rune Haugseng

Comments: 23 pages

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

[58]  arXiv:2309.10793 (cross-list from math.AG) [pdf, ps, other]

Title: Fano varieties with torsion in the third cohomology group

Authors: John Christian Ottem, Jørgen Vold Rennemo

Comments: 24 pages. With an appendix by J\'anos Koll\'ar

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

[59]  arXiv:2309.11237 (cross-list from math.MG) [pdf, ps, other]

Title: Quantitative upper bounds on the Gromov-Hausdorff distance between spheres

Authors: Michael Harrison, R. Amzi Jeffs

Comments: 13 pages, 3 figures

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

[60]  arXiv:2309.11405 (cross-list from math.SG) [pdf, other]

Title: Localisation in Equivariant Cohomology

Authors: Catherine C. Notman, Muaadh A. Sanabani

Comments: 30 pages, 3 figures

Subjects: Symplectic Geometry (math.SG); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Algebraic Topology (math.AT); Differential Geometry (math.DG)

[61]  arXiv:2309.11706 (cross-list from math.AG) [pdf, other]

Title: A Quadratically Enriched Correspondence Theorem

Authors: Andrés Jaramillo Puentes, Sabrina Pauli

Comments: 44 pages, 13 figures; typos corrected, references added, figures updated

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

[62]  arXiv:2309.12753 (cross-list from math.AG) [pdf, other]

Title: Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $\mathrm{GL}_g(\mathbb{Z})$ and $\mathrm{SL}_g(\mathbb{Z})$

Authors: Francis Brown

Comments: Corrected many typos, added references, improved introduction, corrected and strengthened proof of theorem 14.3

Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT); Number Theory (math.NT)

[63]  arXiv:2309.15072 (cross-list from math.AG) [pdf, other]

Title: Spectral weight filtrations

Authors: Peter J. Haine, Piotr Pstrągowski

Comments: Comments very welcome. 54 pages

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

[64]  arXiv:2309.15832 (cross-list from math.GT) [pdf, other]

Title: The relative $h$-principle for closed $\mathrm{SL}(3;\mathbb{R})^2$ 3-forms

Authors: Laurence H. Mayther

Comments: 22 pages

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

[65]  arXiv:2309.16623 (cross-list from math.KT) [pdf, other]

Title: $p$-typical curves on $p$-adic Tate twists and de Rham-Witt forms

Authors: Sanath K. Devalapurkar, Shubhodip Mondal

Comments: 16 pages; comments welcome!

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

[66]  arXiv:2309.16648 (cross-list from math.MG) [pdf, other]

Title: Hausdorff vs Gromov-Hausdorff distances

Authors: Henry Adams, Florian Frick, Sushovan Majhi, Nicholas McBride

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

[67]  arXiv:2309.17142 (cross-list from math.CO) [pdf, other]

Title: Stirling complexes

Authors: Dmitry N. Kozlov

Journal-ref: J. Applied and Computational Topology, 7 (2023), no. 1, 57--74

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

[68]  arXiv:2309.02138 (cross-list from cs.LG) [pdf, other]

Title: Generalized Simplicial Attention Neural Networks

Authors: Claudio Battiloro, Lucia Testa, Lorenzo Giusti, Stefania Sardellitti, Paolo Di Lorenzo, Sergio Barbarossa

Comments: arXiv admin note: text overlap with arXiv:2203.07485

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Algebraic Topology (math.AT)

[69]  arXiv:2309.03123 (cross-list from econ.TH) [pdf, ps, other]

Title: A Topological Proof of The Gibbard-Satterthwaite Theorem

Authors: Yuliy Baryshnikov, Joseph Root

Subjects: Theoretical Economics (econ.TH); Algebraic Topology (math.AT)

[70]  arXiv:2309.03516 (cross-list from cs.SD) [pdf, other]

Title: Topological fingerprints for audio identification

Authors: Wojciech Reise, Ximena Fernández, Maria Dominguez, Heather A. Harrington, Mariano Beguerisse-Díaz

Comments: 26 pages

Subjects: Sound (cs.SD); Audio and Speech Processing (eess.AS); Algebraic Topology (math.AT)

[71]  arXiv:2309.06634 (cross-list from cs.LG) [pdf, other]

Title: $G$-Mapper: Learning a Cover in the Mapper Construction

Authors: Enrique Alvarado, Robin Belton, Emily Fischer, Kang-Ju Lee, Sourabh Palande, Sarah Percival, Emilie Purvine

Subjects: Machine Learning (cs.LG); Algebraic Topology (math.AT); Machine Learning (stat.ML)

[72]  arXiv:2309.07245 (cross-list from quant-ph) [pdf, other]

Title: Entanglement of Sections: The pushout of entangled and parameterized quantum information

Authors: Hisham Sati, Urs Schreiber

Comments: 79 pages, various figures; v2: Section 3.4 added, proof of first step in item 3 in thm. 3.23 fixed

Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph); Algebraic Topology (math.AT); Category Theory (math.CT)

[73]  arXiv:2309.08241 (cross-list from stat.ML) [pdf, other]

Title: Topological Node2vec: Enhanced Graph Embedding via Persistent Homology

Authors: Yasuaki Hiraoka, Yusuke Imoto, Killian Meehan, Théo Lacombe, Toshiaki Yachimura

Comments: For associated repository, see this https URL

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Algebraic Topology (math.AT); Optimization and Control (math.OC)

[74]  arXiv:2309.10775 (cross-list from cs.CG) [pdf, other]

Title: $O(k)$-Equivariant Dimensionality Reduction on Stiefel Manifolds

Authors: Andrew Lee, Harlin Lee, Jose A. Perea, Nikolas Schonsheck, Madeleine Weinstein

Comments: 26 pages, 8 figures, comments welcome!

Subjects: Computational Geometry (cs.CG); Machine Learning (cs.LG); Algebraic Topology (math.AT)

[75]  arXiv:2309.11304 (cross-list from quant-ph) [pdf, ps, other]

Title: A new quantum computational set-up for algebraic topology via simplicial sets

Authors: Roberto Zucchini

Comments: 91 pages, no figures, completely rewritten version with new material added

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

[76]  arXiv:2309.12470 (cross-list from cond-mat.mtrl-sci) [pdf, other]

Title: Spin Weyl Topological Insulators

Authors: Rafael Gonzalez-Hernandez, Bernardo Uribe

Comments: 12 pages, 6 figures

Journal-ref: Phys. Rev. B 109, 045126 (2024)

Subjects: Materials Science (cond-mat.mtrl-sci); Algebraic Topology (math.AT)

[77]  arXiv:2309.13098 (cross-list from cs.LG) [pdf, ps, other]

Title: Topological Data Mapping of Online Hate Speech, Misinformation, and General Mental Health: A Large Language Model Based Study

Authors: Andrew Alexander, Hongbin Wang

Comments: 43 pages

Subjects: Machine Learning (cs.LG); Algebraic Topology (math.AT); Neurons and Cognition (q-bio.NC)

[78]  arXiv:2309.15276 (cross-list from cs.CV) [pdf, other]

Title: A Topological Machine Learning Pipeline for Classification

Authors: Francesco Conti, Davide Moroni, Maria Antonietta Pascali

Journal-ref: Mathematics 2022, 10(17), 3086

Subjects: Computer Vision and Pattern Recognition (cs.CV); Algebraic Topology (math.AT)

[79]  arXiv:2309.16749 (cross-list from hep-th) [pdf, other]

Title: A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases

Authors: Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski, Yu Leon Liu, Natalia Pacheco-Tallaj, Ryan Thorngren

Comments: 31 pages, 4 figures. The mathematical sections have been removed and now appear in 2405.04649

Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph); Algebraic Topology (math.AT)