Geometric Topology

Authors and titles for February 2020

[1] arXiv:2002.00174 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: The maximum volume of hyperbolic polyhedra Show Chinese title

Title: 双曲多面体的最大体积

Giulio Belletti

Comments: 37 pages, 14 figures. Updated reference; comments welcome!

Subjects: Geometric Topology (math.GT)

[2] arXiv:2002.00239 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Cohomology fractals Show Chinese title

Title: 上同调分形

David Bachman, Saul Schleimer, Henry Segerman

Comments: 8 pages, 30 figures and subfigures

Subjects: Geometric Topology (math.GT)

[3] arXiv:2002.00445 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Geometric Methods In Heegaard Theory Show Chinese title

Title: 几何方法在海盖德理论中

Tobias Holck Colding, David Gabai, Daniel Ketover

Subjects: Geometric Topology (math.GT)

[4] arXiv:2002.00564 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: A survey of the impact of Thurston's work on Knot Theory Show Chinese title

Title: 对托伦斯工作在扭结理论中影响的综述

Makoto Sakuma

Comments: 97 pages, 12 figures

Subjects: Geometric Topology (math.GT)

[5] arXiv:2002.00597 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Prism complexes Show Chinese title

Title: 棱柱复形

Tejas Kalelkar, Ramya Nair

Comments: Minor changes. This version published in Topology Proceedings

Journal-ref: Topology Proceedings, 62 (2023), 45-63

Subjects: Geometric Topology (math.GT)

[6] arXiv:2002.01156 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Dynamical zeta functions for geodesic flows and the higher-dimensional Reidemeister torsion for Fuchsian groups Show Chinese title

Title: 测地流的动力学zeta函数和Fuchsian群的高维Reidemeister挠率

Yoshikazu Yamaguchi

Comments: 25 pages

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

[7] arXiv:2002.01206 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: A survey of topological Zimmer's program Show Chinese title

Title: 拓扑Zimmer计划的综述

Shengkui Ye

Comments: references updated, accepted for publication in Proceedings of the International Congress of Chinese Mathematicians (ICCM Beijing 2019)

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

[8] arXiv:2002.01209 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: A topological equivalence relation for finitely presented groups Show Chinese title

Title: 有限表示群的拓扑等价关系

M. Cárdenas, F.F. Lasheras, A. Quintero, R. Roy

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

[9] arXiv:2002.01505 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Milnor's concordance invariants for knots on surfaces Show Chinese title

Title: 米尔诺的扭结在曲面上的同痕不变量

Micah Chrisman

Comments: v1: 42 pages, 37 figures, 6 tables. v2: This version incorporates suggestions of the referees and corrects minor typos. To appear in Algebraic & Geometric Topology

Journal-ref: Algebr. Geom. Topol. 22 (2022) 2293-2353

Subjects: Geometric Topology (math.GT)

[10] arXiv:2002.01737 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Stable diffeomorphism groups of 4-manifolds Show Chinese title

Title: 稳定微分同胚群的4-流形

Markus Szymik

Comments: 24 pages

Journal-ref: Math. Res. Lett. 15 (2008) 1003--1016

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

[11] arXiv:2002.01738 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Characteristic cohomotopy classes for families of 4-manifolds Show Chinese title

Title: 四流形族的特征同伦类

Markus Szymik

Comments: 23 pages

Journal-ref: Forum Math. 22 (2010) 509--523

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

[12] arXiv:2002.01739 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Bauer--Furuta invariants and Galois symmetries Show Chinese title

Title: Bauer-Furuta不变量和伽罗瓦对称性

Markus Szymik

Comments: 36 pages

Journal-ref: Q. J. Math. 63 (2012) 1033--1054

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

[13] arXiv:2002.01752 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Foliated Open Books Show Chinese title

Title: 层状开书

Joan E. Licata, Vera Vertesi

Comments: 63 pages, 24 figures

Journal-ref: Algebr. Geom. Topol. 24 (2024) 3139-3197

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

[14] arXiv:2002.01904 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: An upper bound conjecture for the Yokota invariant Show Chinese title

Title: 关于Yokota不变量的上界猜想

Giulio Belletti

Comments: 39 pages, 26 figures. Updated with new title and a stronger focus on the upper bound conjecture; accepted for publication at Algebraic and Geometric Topology

Journal-ref: Algebr. Geom. Topol. 25 (2025) 645-675

Subjects: Geometric Topology (math.GT)

[15] arXiv:2002.02004 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Non arithmetic affine invariant orbifolds in Hodd(2, 2) and H(3, 1) Show Chinese title

Title: Hodd(2, 2)和H(3, 1)中的非算术仿射不变轨道空间

Florent Ygouf

Comments: arXiv admin note: text overlap with arXiv:2002.01186

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

[16] arXiv:2002.02042 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Creating Stein surfaces by topological isotopy Show Chinese title

Title: 通过拓扑同伦创建斯坦表面

Robert E. Gompf

Comments: 32 pages, 9 figures. This version to appear in J. Differ. Geom. Definition of topologically pseudoconvex 4-manifold simplified. Exposition significantly improved in various places. Figures added

Journal-ref: J. Differential Geom. 125 (1) (2023), 121-171

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

[17] arXiv:2002.02179 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Algorithms in 3-manifold theory Show Chinese title

Title: 三维流形理论中的算法

Marc Lackenby

Comments: 44 pages, 9 figures

Subjects: Geometric Topology (math.GT)

[18] arXiv:2002.02279 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: On the IRS compactification of moduli space Show Chinese title

Title: 关于模空间的IRS紧化

Yannick Krifka

Comments: 48 pages, 3 figures

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

[19] arXiv:2002.02326 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Corks, involutions, and Heegaard Floer homology Show Chinese title

Title: 软木，对合与海格诺弗洛尔同调

Irving Dai, Matthew Hedden, Abhishek Mallick

Comments: 68 pages; fixed typo in Figure 5, to appear in J. Eur. Math. Soc

Journal-ref: J. Eur. Math. Soc., 25(6) (2023), 2319-2389

Subjects: Geometric Topology (math.GT)

[20] arXiv:2002.02388 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: Relations between Reeb graphs, systems of hypersurfaces and epimorphisms onto free groups Show Chinese title

Title: Reeb图、超曲面系统和到自由群的同态之间的关系

Wacław Marzantowicz, Łukasz Patryk Michalak

Comments: Published in Fundamenta Mathematicae (online first)

Journal-ref: Fundamenta Mathematicae 265 (2024), 97-140

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

[21] arXiv:2002.02471 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Relative homological representations of framed mapping class groups Show Chinese title

Title: 框架映射类群的相对同调表示

Aaron Calderon, Nick Salter

Comments: 18 pages. Final version, as appeared in B. Lond. Math. Soc

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

[22] arXiv:2002.02472 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Framed mapping class groups and the monodromy of strata of Abelian differentials Show Chinese title

Title: 框架映射类群和阿贝尔微分的层的单色群

Aaron Calderon, Nick Salter

Comments: New in version 3:we now treat all isotopy classes of framings in genus at least 5; previously we considered only the restricted class of framings of "holomorphic type". We have also given a further strengthening to the main result on framed mapping class groups, allowing a vastly broader class of generating sets

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

[23] arXiv:2002.02738 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Measuring pants Show Chinese title

Title: 测量裤子

Nhat Minh Doan, Hugo Parlier, Ser Peow Tan

Comments: 19 pages, 2 figures

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

[24] arXiv:2002.02790 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Slopes of links and signature formulas Show Chinese title

Title: 链接的斜率和符号公式

Alex Degtyarev, Vincent Florens, Ana G. Lecuona

Comments: arXiv admin note: text overlap with arXiv:1802.01836. References updated

Journal-ref: Contemp. Math., 772 American Mathematical Society, [Providence], RI, [2021]

Subjects: Geometric Topology (math.GT)

[25] arXiv:2002.03146 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Area-perimeter duality in polygon spaces Show Chinese title

Title: 多边形空间中的面积-周长对偶性

Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma

Journal-ref: Math.Scand. 127 (2021), no.2, 2525-263

Subjects: Geometric Topology (math.GT)