Geometric Topology

Authors and titles for recent submissions

• Fri, 17 Jan 2025
• Thu, 16 Jan 2025
• Wed, 15 Jan 2025
• Tue, 14 Jan 2025
• Mon, 13 Jan 2025

See today's new changes

Fri, 17 Jan 2025 (showing 3 of 3 entries )

[1] arXiv:2501.09518 [pdf, html, other]

Title: On Round Surgery Diagrams For 3-Manifolds

Prerak Deep, Dheeraj Kulkarni

Comments: 33 pages, 32 figures

Subjects: Geometric Topology (math.GT)

[2] arXiv:2501.09232 [pdf, html, other]

Title: Convex disks with Legendrian boundary in overtwisted contact 3-manifolds

Dahyana Farias, Eduardo Fernández, Francisco Presas, Guillermo Sánchez-Arellano

Comments: 27 pages, 8 figures. Comments are welcome

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

[3] arXiv:2501.09266 (cross-list from math.DG) [pdf, html, other]

Title: Spectral gaps on thick part of moduli spaces

Yunhui Wu, Haohao Zhang

Comments: 56 pages, 11 figures, comments welcome

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV); Geometric Topology (math.GT); Number Theory (math.NT); Spectral Theory (math.SP)

Thu, 16 Jan 2025 (showing 5 of 5 entries )

[4] arXiv:2501.08750 [pdf, html, other]

Title: On $h$-cobordisms of complexity $2$

Roberto Ladu

Comments: 29 pages, 19 figures

Subjects: Geometric Topology (math.GT)

[5] arXiv:2501.08447 [pdf, html, other]

Title: Critical Exponents on Hyperbolic Surfaces with Long Boundaries and the Asymptotic Weil-Petersson Form

Henry Talbott

Comments: 64 pages, 16 figures

Subjects: Geometric Topology (math.GT); Probability (math.PR)

[6] arXiv:2501.08835 (cross-list from cond-mat.soft) [pdf, html, other]

Title: Relative knot probabilities in confined lattice polygons

EJ Janse van Rensburg, E Orlandini, MC Tesi

Subjects: Soft Condensed Matter (cond-mat.soft); Other Condensed Matter (cond-mat.other); Geometric Topology (math.GT)

[7] arXiv:2501.08451 (cross-list from math.SG) [pdf, html, other]

Title: Properties of contact toric structures and concave boundaries of linear plumbings

Aleksandra Marinković, Jo Nelson, Ana Rechtman, Laura Starkston, Shira Tanny, Luya Wang

Comments: 66 pages, 26 figures, comments welcome!

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

[8] arXiv:2501.08081 (cross-list from math.DG) [pdf, html, other]

Title: Rigidity, volume and angle structures of 1-3 type hyperbolic polyhedral 3-manifolds

Feng Ke, Ge Huabin, Liu Chunlei

Comments: arXiv admin note: substantial text overlap with arXiv:1404.5365 by other authors

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

Wed, 15 Jan 2025 (showing 5 of 5 entries )

[9] arXiv:2501.07910 [pdf, html, other]

Title: On the connected sums of the $(2,1)$-cable of the figure eight knot

Yoshihiro Fukumoto, Masaki Taniguchi

Comments: 4 pages

Subjects: Geometric Topology (math.GT)

[10] arXiv:2501.07796 [pdf, html, other]

Title: Closed hyperbolic manifolds without $\text{spin}^c$ structures

Jacopo G. Chen

Comments: 14 pages

Subjects: Geometric Topology (math.GT)

[11] arXiv:2501.07788 [pdf, html, other]

Title: On the slice-torus invariant $q_M$ from $\mathbb{Z}_2$-equivariant Seiberg--Witten Floer cohomology

Nobuo Iida, Taketo Sano, Kouki Sato, Masaki Taniguchi

Comments: 14 pages, 3 figures

Subjects: Geometric Topology (math.GT)

[12] arXiv:2501.07698 (cross-list from math.CO) [pdf, html, other]

Title: Circle graphs and the automorphism group of the circle

Agelos Georgakopoulos

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

[13] arXiv:2501.07646 (cross-list from math.GR) [pdf, other]

Title: On zero-divisors and units in group rings of torsion-free CAT$(0)$ groups

Manisha Garg, Igor Mineyev

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

Tue, 14 Jan 2025 (showing 4 of 4 entries )

[14] arXiv:2501.07522 [pdf, html, other]

Title: The Lodha--Moore groups and their $n$-adic generalizations are not SCY

Yuya Kodama, Akihiro Takano

Comments: 25 pages, 2 figures, and 1 appendix written by Yuka Kodama

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

[15] arXiv:2501.07287 [pdf, html, other]

Title: Black holes in the Dynnikov Coordinate Plane

Ferihe Atalan

Comments: 19 pages, 13 figures

Subjects: Geometric Topology (math.GT)

[16] arXiv:2501.07031 [pdf, html, other]

Title: R-equivalence classes of $\mathrm{Rot} \mathbb{E}^{2}$-colorings of torus knots

Mai Sato

Comments: 28 pages, 13 figures

Subjects: Geometric Topology (math.GT)

[17] arXiv:2501.06310 [pdf, html, other]

Title: Bordered algebras and the wrapped Fukaya category

Isabella Khan

Comments: 23 pages, 14 figures; Comments welcome!

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

Mon, 13 Jan 2025 (showing 2 of 2 entries )

[18] arXiv:2501.05992 [pdf, html, other]

Title: On reconstructing Morse-Bott functions with prescribed preimages on $3$-dimensional manifolds and conditions for the reconstruction

Naoki Kitazawa

Comments: 7 pages. Our main result (Theorem 1) extends "Theorem 1 from arXiv:2412.20626" to a certain class of Morse-Bott functions (from Morse functions). After the submission of the preprint to a refereed journal, we hit on an essential idea and this has helped us to present the present preprint

Subjects: Geometric Topology (math.GT)

[19] arXiv:2501.05634 [pdf, other]

Title: Immersed Curves and 4-Manifold Invariants

Jesse Cohen, Gary Guth

Subjects: Geometric Topology (math.GT)