Geometric Topology

Authors and titles for recent submissions

• Tue, 29 Jul 2025
• Mon, 28 Jul 2025
• Fri, 25 Jul 2025
• Thu, 24 Jul 2025
• Wed, 23 Jul 2025

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Tue, 29 Jul 2025 (showing 13 of 13 entries )

[1] arXiv:2507.20903 [pdf, html, other]

Title: Geometric considerations for energy minimization of topological links and chainmail networks

Alexander Klotz

Comments: 13 pages, 7 figures

Subjects: Geometric Topology (math.GT)

[2] arXiv:2507.20902 [pdf, html, other]

Title: Modular representations via the first homology of congruence subgroups of mapping class groups and automorphism groups of free groups

Tudur Lewis

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

[3] arXiv:2507.20734 [pdf, other]

Title: Degeneracy slopes, boundary slopes and exceptional surgery slopes

Kazuhiro Ichihara

Comments: 13 pages

Subjects: Geometric Topology (math.GT)

[4] arXiv:2507.20455 [pdf, html, other]

Title: Ribbon knots and iterated cables of fibered knots

Jennifer Hom, JungHwan Park

Comments: 16 pages

Subjects: Geometric Topology (math.GT)

[5] arXiv:2507.20360 [pdf, html, other]

Title: Biquandle cocycle condition for invariants of immersed surface-links in the four-space

Michal Jablonowski

Subjects: Geometric Topology (math.GT)

[6] arXiv:2507.20247 [pdf, other]

Title: Bounded volume class and Cheeger isoperimetric constant for negatively curved manifolds

Ervin Hadziosmanovic

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

[7] arXiv:2507.19677 [pdf, html, other]

Title: Flexible hyperbolic cone metrics on the genus 2 surface

Katherine Chui, Jacob Russell

Comments: 27 Pages, 7 Pages. Paper with undergraduate coauther

Subjects: Geometric Topology (math.GT)

[8] arXiv:2507.20940 (cross-list from math.SG) [pdf, html, other]

Title: Symplectic Classes on Elliptic Surfaces I

Josef G. Dorfmeister, Tian-Jun Li

Comments: 55 pages. Comments welcome!

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

[9] arXiv:2507.20912 (cross-list from math.CV) [pdf, html, other]

Title: Function theory, Dynamics and Ergodic theory via Thurston theory

Hideki Miyachi

Comments: This is written as a chapter of a book

Subjects: Complex Variables (math.CV); General Topology (math.GN); Geometric Topology (math.GT)

[10] arXiv:2507.20710 (cross-list from math.GR) [pdf, other]

Title: Finite generation of abelianizations of the genus 3 Johnson kernel and the commutator subgroup of the Torelli group for $\mathrm{Out}(F_3)$

Alexander A. Gaifullin

Comments: 37 pages, 6 figures

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

[11] arXiv:2507.19930 (cross-list from math.CV) [pdf, html, other]

Title: Bounded Pluriharmonic Functions and Holomorphic Functions on Teichmüller Space II -- Poisson integral formula --

Hideki Miyachi

Subjects: Complex Variables (math.CV); Geometric Topology (math.GT)

[12] arXiv:2507.19927 (cross-list from math.GR) [pdf, html, other]

Title: Benoist-Hulin groups

Hideki Miyachi, Yannian Zhao

Subjects: Group Theory (math.GR); Complex Variables (math.CV); Dynamical Systems (math.DS); Geometric Topology (math.GT)

[13] arXiv:2507.19504 (cross-list from math.HO) [pdf, html, other]

Title: Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology - A Review

Zhe Su, Xiang Liu, Layal Bou Hamdan, Vasileios Maroulas, Jie Wu, Gunnar Carlsson, Guo-Wei Wei

Subjects: History and Overview (math.HO); Differential Geometry (math.DG); Geometric Topology (math.GT)

Mon, 28 Jul 2025 (showing 6 of 6 entries )

[14] arXiv:2507.19448 [pdf, html, other]

Title: Parametrizing some interesting knotted surfaces

Tumpa Mahato, Rama Mishra

Comments: 27 pages, 28 figures

Subjects: Geometric Topology (math.GT)

[15] arXiv:2507.19306 [pdf, html, other]

Title: Transverse Spheres in Flag Manifolds

Parker Evans, J. Maxwell Riestenberg

Comments: 66 pages, 7 figures, 2 tables

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

[16] arXiv:2507.19291 [pdf, html, other]

Title: Adapted Renormalized Volume for Hyperbolic 3-Manifolds with Compressible Boundary

Viola Giovannini

Comments: 48 pages, 4 figures, comments are welcome!

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

[17] arXiv:2507.19191 [pdf, other]

Title: Self-intersecting curves on a pair of pants and periodic orbits of Hamiltonian flows

Fernando Camacho-Cadena

Comments: 55 pages, 17 figures

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

[18] arXiv:2507.18855 [pdf, other]

Title: A characterization of adequate Turaev genus one links

Khaled Qazaqzeh, Nafaa Chbili, Adam M. Lowrance

Comments: 13 pages, 7 figures

Subjects: Geometric Topology (math.GT)

[19] arXiv:2507.19385 (cross-list from math.DG) [pdf, html, other]

Title: $L^2$ Frölicher inequalities

Francesco Bei, Riccardo Piovani

Comments: 17 pages, comments are welcome!

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV); Geometric Topology (math.GT)

Fri, 25 Jul 2025 (showing 4 of 4 entries )

[20] arXiv:2507.18500 [pdf, html, other]

Title: Fundamental generalized Legendrian rack and classical invariants

Zhiyun Cheng, Zhiyi He

Comments: 11 pages, 6 figures

Subjects: Geometric Topology (math.GT)

[21] arXiv:2507.18154 [pdf, html, other]

Title: Ribbonness on boundary surface-link

Akio Kawauchi

Subjects: Geometric Topology (math.GT)

[22] arXiv:2507.17973 [pdf, html, other]

Title: Primitive invariants from laminations

Veronica Pasquarella

Comments: 37 pages, 9 figures, plus appendix and references. Submitted to peer review

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

[23] arXiv:2507.18250 (cross-list from math.AT) [pdf, html, other]

Title: A note on Duality and the Atiyah-Hirzebruch spectral sequence

Maximilian Hans

Comments: 12 pages

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

Thu, 24 Jul 2025 (showing 13 of 13 entries )

[24] arXiv:2507.17584 [pdf, html, other]

Title: Not all knots are smoothly round handle slice

Tye Lidman, Allison N. Miller, Arunima Ray

Comments: 4 pages, 4 figures

Subjects: Geometric Topology (math.GT)

[25] arXiv:2507.17362 [pdf, other]

Title: Horn's problem in PU$(n,1)$

Arielle Marc-Zwecker (IF)

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

[26] arXiv:2507.17251 [pdf, html, other]

Title: Domain of Discontinuity of Anosov Subgroups Acting on Bundles

Krishnendu Gongopadhyay, Tathagata Nayak

Comments: Comments are welcome

Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG); Group Theory (math.GR); Representation Theory (math.RT)

[27] arXiv:2507.17142 [pdf, html, other]

Title: Uniqueness of Maximal Curve Systems on Punctured Projective Planes

Xiao Chen, Wujie Shen

Comments: 28 pages, 22 figures. Comments are welcome!

Subjects: Geometric Topology (math.GT)

[28] arXiv:2507.16984 [pdf, other]

Title: Smoothing topological pseudo-isotopies of 4-manifolds

Patrick Orson, Mark Powell, Oscar Randal-Williams

Subjects: Geometric Topology (math.GT)

[29] arXiv:2507.17633 (cross-list from math.AG) [pdf, other]

Title: Normal stable degenerations of Noether-Horikawa surfaces

Hiroto Akaike, Makoto Enokizono, Masafumi Hattori, Yuki Koto

Comments: 218 pages. Comments are welcome!

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

[30] arXiv:2507.17574 (cross-list from math.GR) [pdf, html, other]

Title: Local Connectivity of Right-angled Coxeter group boundaries

Michael Mihalik, Kim Ruane, Steve Tschantz

Comments: 28 pages, 4 figures

Journal-ref: Journal of Group Theory, vol. 10, (2007), pp.531-560

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

[31] arXiv:2507.17557 (cross-list from math.MG) [pdf, html, other]

Title: Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function

Mohammad Alattar, Lewis Tadman

Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG); Geometric Topology (math.GT)

[32] arXiv:2507.17546 (cross-list from math.GR) [pdf, html, other]

Title: New tools in hierarchical hyperbolicity: A survey

Alessandro Sisto

Comments: 10 pages, to appeas in the Proceedings of the 9th European Congress of Mathematics

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

[33] arXiv:2507.17305 (cross-list from math.DG) [pdf, html, other]

Title: Ricci curvature and minimal hypersurfaces with large Betti numbers

Davi Maximo, Philipp Reiser, Daniele Semola

Comments: 12 pages

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

[34] arXiv:2507.17119 (cross-list from math.QA) [pdf, html, other]

Title: Lectures on SL(3) foams and link homology

Mikhail Khovanov, Dmitry Solovyev

Comments: 86 pages, 81 figures

Subjects: Quantum Algebra (math.QA); Geometric Topology (math.GT); Representation Theory (math.RT)

[35] arXiv:2507.17077 (cross-list from math.DS) [pdf, html, other]

Title: Analytic Theory on the Space of Blaschke Products: Simultaneous Uniformization and Pressure Metric

Yan Mary He, Homin Lee, Insung Park

Comments: 18 pages, 2 figures

Subjects: Dynamical Systems (math.DS); Geometric Topology (math.GT)

[36] arXiv:2507.17037 (cross-list from math.DG) [pdf, html, other]

Title: Convergence of discrete conformal mappings on surfaces

David Glickenstein, Lee Sidbury

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

Wed, 23 Jul 2025 (showing 5 of 5 entries )

[37] arXiv:2507.16195 [pdf, html, other]

Title: Marked length varieties and arithmeticity

Yanlong Hao

Subjects: Geometric Topology (math.GT)

[38] arXiv:2507.16794 (cross-list from math.DG) [pdf, other]

Title: Random graphs, expanding families and the construction of noncompact hyperbolic surfaces with uniform spectral gaps

Qi Guo, Bobo Hua, Yang Shen

Subjects: Differential Geometry (math.DG); Combinatorics (math.CO); Geometric Topology (math.GT)

[39] arXiv:2507.16677 (cross-list from math.GR) [pdf, html, other]

Title: Spinning and random quotients preserve hierarchical hyperbolicity

Carolyn Abbott, Daniel Berlyne, Giorgio Mangioni, Thomas Ng, Alexander J. Rasmussen

Comments: 59 pages, 17 figures. Comments are gladly welcome!

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

[40] arXiv:2507.16017 (cross-list from math.DG) [pdf, html, other]

Title: Moduli spaces of flat Riemannian metrics on orbifolds

Karla García, Ingrid Amaranta Membrillo Solis, Motiejus Valiunas

Comments: 21 pages, comments welcome!

Subjects: Differential Geometry (math.DG); Group Theory (math.GR); Geometric Topology (math.GT)

[41] arXiv:2507.15999 (cross-list from math.GR) [pdf, html, other]

Title: Exotic presentations of quaternion groups and Wall's D2 problem

Tommy Hofmann, John Nicholson

Comments: 36 pages

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