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)

[26] arXiv:2002.03208 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Transfinite Milnor invariants for 3-manifolds Show Chinese title

Title: 无限序数Milnor不变量对于3-流形

Jae Choon Cha, Kent E. Orr

Comments: 55 pages; referee's comments incorporated; to appear in Journal of the European Mathematical Society

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

[27] arXiv:2002.03486 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Seifert fibred 2-knot manifolds. II Show Chinese title

Title: Seifert纤维化的2-纽结流形。 II

Jonathan A. Hillman

Subjects: Geometric Topology (math.GT)

[28] arXiv:2002.03628 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Superrigidity of maximal measurable cocycles of complex hyperbolic lattices Show Chinese title

Title: 复双曲格子的最大可测上同调的刚性

Filippo Sarti, Alessio Savini

Comments: Commenta are welcome! 25 pages

Subjects: Geometric Topology (math.GT)

[29] arXiv:2002.03986 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Characterization of some convex curves on the 3-sphere Show Chinese title

Title: 三维球面上一些凸曲线的特征

Emília Alves

Subjects: Geometric Topology (math.GT)

[30] arXiv:2002.03991 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Kirby-Thompson distance for trisections of knotted surfaces Show Chinese title

Title: Kirby-Thompson 用于结面的三等分的距离

Ryan Blair, Marion Campisi, Scott A. Taylor, Maggy Tomova

Subjects: Geometric Topology (math.GT)

[31] arXiv:2002.04103 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: SL(2,C) Floer cohomology for surgeries on some knots Show Chinese title

Title: SL(2,C) 李代数上同调关于某些纽结的手术

Ikshu Neithalath

Comments: Revised based on referee comments on the second version. Changed the statement of Theorem 1 to be more specific. Replaced the calculations of HP for surgeries on the trefoil and figure-eight knots with a more general formula for HP and HP_# for surgery on any two-bridge knot. Accepted by Michigan Math Journal

Subjects: Geometric Topology (math.GT)

[32] arXiv:2002.04567 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: The geometric realization of a normalized set-theoretic Yang-Baxter homology of biquandles Show Chinese title

Title: 双模的归一化集合论Yang-Baxter同调的几何实现

Xiao Wang, Seung Yeop Yang

Comments: 16 pages, 9 figures

Subjects: Geometric Topology (math.GT)

[33] arXiv:2002.04735 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Inducing of exotic smooth two fixed point actions on spheres Show Chinese title

Title: 在球面上诱导奇异光滑两个固定点作用

Piotr Mizerka

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

[34] arXiv:2002.05247 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: On Khovanov Homology and Related Invariants Show Chinese title

Title: 关于科瓦诺夫同调和相关不变量

Carmen Caprau, Nicolle González, Christine Ruey Shan Lee, Adam M. Lowrance, Radmila Sazdanović, Melissa Zhang

Subjects: Geometric Topology (math.GT)

[35] arXiv:2002.05320 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Rigidity of matrix group actions on CAT(0) spaces with possible parabolic isometries and uniquely arcwise connected spaces Show Chinese title

Title: 矩阵群在可能具有抛物等距的CAT(0)空间和唯一弧连通空间上的刚性

Shengkui Ye

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

[36] arXiv:2002.05974 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Numerical irreducibility criteria for handlebody links Show Chinese title

Title: 用于体环链的数值不可约性准则

Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang

Comments: 13 pages, 3 figures

Subjects: Geometric Topology (math.GT)

[37] arXiv:2002.06110 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Derived traces of Soergel categories Show Chinese title

Title: Soergel范畴的导出迹

Eugene Gorsky, Matthew Hogancamp, Paul Wedrich

Comments: 74 pages, comments welcome

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

[38] arXiv:2002.06729 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Vanishing of the Euler class in Power subgroups of the punctured mapping class group Show Chinese title

Title: 穿孔映射类群的幂子群中欧拉类的消失

Lei Chen

Comments: 3 pages

Subjects: Geometric Topology (math.GT)

[39] arXiv:2002.07326 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: On tunnel numbers of a cable knot and its companion Show Chinese title

Title: 关于缆绳纽结及其伴纽结的隧道数

Junhua Wang, Yanqing Zou

Subjects: Geometric Topology (math.GT)

[40] arXiv:2002.07361 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: On arrow polynomials of checkerboard colorable virtual links Show Chinese title

Title: 关于可棋盘着色虚链的箭头多项式

Qingying Deng, Xian'an Jin, Louis H. Kauffman

Comments: 16 pages, 17 figures

Subjects: Geometric Topology (math.GT)

[41] arXiv:2002.07693 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Geodesic complexity of motion planning Show Chinese title

Title: 运动规划的测地复杂度

David Recio-Mitter

Comments: Minor changes; to appear in the Journal of Applied and Computational Topology

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

[42] arXiv:2002.07871 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Winding homology of knotoids Show Chinese title

Title: 绳结元的缠绕同调

Deniz Kutluay

Comments: 33 pages, 28 figures; added Remarks 4.7, 4.8, 6.3; minor changes in notation; clarifications added; typos fixed; references added

Subjects: Geometric Topology (math.GT)

[43] arXiv:2002.08151 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: SU(3)-skein algebras and webs on surfaces Show Chinese title

Title: SU(3)-迹代数与曲面上的网

Charles Frohman, Adam S. Sikora

Comments: Math. Z. to appear, 2nd version updated by a discussion of a relation of this work to Fock-Goncharov-Shen theory and by references to preprints which appeared since the original submission. 32 pages

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

[44] arXiv:2002.08191 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Involutions of alternating links Show Chinese title

Title: 交错结的对合变换

Keegan Boyle

Comments: Updated to agree with the version accepted by Proceedings of the AMS. 15 pages, 9 figures. arXiv admin note: text overlap with arXiv:1906.04308

Journal-ref: Proc. Amer. Math. Soc. 149 (2021), no. 7, 3113-3128

Subjects: Geometric Topology (math.GT)

[45] arXiv:2002.08213 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Generating the spin mapping class group by Dehn twists Show Chinese title

Title: 通过德恩扭转生成自旋映射类群

Ursula Hamenstädt

Comments: Final version. A considerable simplification in Section 2. 41 pages, 5 figures

Subjects: Geometric Topology (math.GT)

[46] arXiv:2002.08305 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Classification of $2$-component virtual links up to $Ξ$-moves Show Chinese title

Title: $2$-组件虚链接在$Ξ$-移动下的分类

Jean-Baptiste Meilhan, Shin Satoh, Kodai Wada

Comments: 26 pages, 39 figures; v2: substantial revision. To appear in Fundamenta Mathematicae

Subjects: Geometric Topology (math.GT)

[47] arXiv:2002.08485 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: The Minimal Genus of Homology Classes in a Finite 2-Complex Show Chinese title

Title: 同调类在有限2复形中的最小亏格

Thorben Kastenholz, Mark Pedron

Journal-ref: Algebr. Geom. Topol. 22 (2022) 1375-1415

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

[48] arXiv:2002.08572 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Contact (+1)-surgeries on rational homology 3-spheres Show Chinese title

Title: 有理同调3球体上的接触(+1)-手术

Fan Ding, Youlin Li, Zhongtao Wu

Comments: v2. 25 pages, 10 figures

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

[49] arXiv:2002.08662 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: Realization of manifolds as leaves using graph colorings Show Chinese title

Title: 流形作为叶的图着色实现

Jesús A. Álvarez López, Ramón Barral Lijó

Comments: 25 pages. Version accepted for publication in the Journal of the Mathematical Society of Japan

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

[50] arXiv:2002.08785 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: A homological model for $U_q \mathfrak{sl}(2)$ Verma-modules and their braid representations Show Chinese title

Title: 一个同调模型用于$U_q \mathfrak{sl}(2)$ Verma 模块及其辫表示

Jules Martel

Comments: 45 pages, comments are welcome

Journal-ref: Geom. Topol. 26 (2022) 1225-1289

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