Geometric Topology

Authors and titles for February 2020

[51] arXiv:2002.09081 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: S-stable foliations on flow-spines with transverse Reeb flow Show Chinese title

Title: 关于具有横截 Reeb 流的流脊上的 S-稳定叶状结构

Shin Handa, Masaharu Ishikawa

Comments: 19 pages, 16 figures; Introduction and examples are revised

Subjects: Geometric Topology (math.GT)

[52] arXiv:2002.09151 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Generating the mapping class group by three involutions Show Chinese title

Title: 生成映射类群的三个对合

Oguz Yildiz

Subjects: Geometric Topology (math.GT)

[53] arXiv:2002.09210 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: An algorithm for computing the $Υ$-invariant and the $d$-invariants of Dehn surgeries Show Chinese title

Title: 一种计算德恩手术的$Υ$不变量和$d$不变量的算法

Taketo Sano, Kouki Sato

Comments: 38 pages, 5 figures

Subjects: Geometric Topology (math.GT)

[54] arXiv:2002.09349 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: A short proof of a conjecture of Aougab-Huang Show Chinese title

Title: Aougab-Huang猜想的简短证明

Jonah Gaster

Comments: 4 pages, 1 figure, comments welcome

Subjects: Geometric Topology (math.GT)

[55] arXiv:2002.09390 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Coloured Jones and Alexander polynomials as topological intersections of cycles in configuration spaces Show Chinese title

Title: 彩色琼斯多项式和亚历山大多项式作为配置空间中循环的拓扑交集

Cristina Ana-Maria Anghel

Comments: 47 pages, Major changes, Comments welcome

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

[56] arXiv:2002.09709 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Knot diagrams on a punctured sphere as a model of string figures Show Chinese title

Title: 带有孔的球面上的纽结图作为绳结图案的模型

Masafumi Arai, Kouki Taniyama

Comments: 6 pages, 6 figures, minor revision has done, to appear in Journal of Knot Theory and its Ramifications

Subjects: Geometric Topology (math.GT)

[57] arXiv:2002.09760 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Nielsen realization for infinite-type surfaces Show Chinese title

Title: 关于无限型曲面的尼尔森实现问题

Santana Afton, Danny Calegari, Lvzhou Chen, Rylee Alanza Lyman

Comments: v3 added results on (locally) compact subgroups of the mapping class group suggested by Mladen Bestvina. Also made minor edits according to the referee report. 8 pages

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

[58] arXiv:2002.10040 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Links in Surfaces and Laplacian Modules Show Chinese title

Title: 曲面中的链接和拉普拉斯模块

Daniel S. Silver, Susan G. Williams

Comments: 14 pages, 15 figures

Subjects: Geometric Topology (math.GT)

[59] arXiv:2002.10192 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Twisted Alexander invariants of knot group representations Show Chinese title

Title: 扭 Alexander 不变量的纽结群表示

Takefumi Nosaka

Comments: I revised minor errors

Subjects: Geometric Topology (math.GT)

[60] arXiv:2002.10324 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Branched covers bounding rational homology balls Show Chinese title

Title: 分支覆盖界定有理同调球

Paolo Aceto, Jeffrey Meier, Allison N. Miller, Maggie Miller, JungHwan Park, András I. Stipsicz

Comments: 19 pages, 5 figures, Version 2: Minor changes to abstract and introduction. Added references on knots that are not concordant to their reverses

Journal-ref: Algebr. Geom. Topol. 21 (2021) 3569-3599

Subjects: Geometric Topology (math.GT)

[61] arXiv:2002.10356 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: A-polynomials, Ptolemy equations and Dehn filling Show Chinese title

Title: A多项式，Ptolemy方程和Dehn填充

Joshua A. Howie, Daniel V. Mathews, Jessica S. Purcell

Comments: 46 pages, 18 figures. v4: adjusted orientation of Farey complex, added appendix B with example computations

Journal-ref: Algebr. Geom. Topol. 25 (2025) 1265-1320

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

[62] arXiv:2002.10417 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Algebraic links in lens spaces Show Chinese title

Title: 代数链在透镜空间中

Eva Horvat

Comments: 18 pages, 11 figures

Journal-ref: Communications in Contemporary Mathematics (2021) 2050066

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

[63] arXiv:2002.10611 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Left-orderability, branched covers and double twist knots Show Chinese title

Title: 左序性、分支覆盖和双扭结

Hannah Turner

Comments: 14 pages, 2 figures; comments welcome

Subjects: Geometric Topology (math.GT)

[64] arXiv:2002.10792 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Symplectic quandles and parabolic representations of 2-bridge Knots and Links Show Chinese title

Title: 辛李群和双桥纽结与链的抛物表示

Kyeonghee Jo, Hyuk Kim

Subjects: Geometric Topology (math.GT)

[65] arXiv:2002.10918 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Non-realizability of the pure braid group as area-preserving homeomorphisms Show Chinese title

Title: 纯辫群不可实现为保面积同胚

Lei Chen

Comments: 12 pages. arXiv admin note: text overlap with arXiv:1904.09490

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

[66] arXiv:2002.11069 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Minimal volume entropy of simplicial complexes Show Chinese title

Title: 单纯复形的最小体积熵

Ivan Babenko, Stephane Sabourau

Comments: The statement of Theorem 1.1 about the vanishing of the minimal volume entropy under the fiber growth collapsing assumption is incorrect. A correct statement can be found in our preprint entitled "Minimal volume entropy anf fiber growth" corresponding to an extended version of the first part of this paper

Subjects: Geometric Topology (math.GT)

[67] arXiv:2002.11299 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Embeddings of $4$--manifolds in $\CP^3$ Show Chinese title

Title: $4$流形在$\CP^3$中的嵌入

Abhijeet Ghanwat, Dishant M. Pancholi

Comments: 21 pages. Improved the exposition. Proof of embeddings in R^7 is added

Subjects: Geometric Topology (math.GT)

[68] arXiv:2002.11445 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: On faces of quasi-arithmetic Coxeter polytopes Show Chinese title

Title: 关于拟算术考克斯eter多面体的面

Nikolay Bogachev, Alexander Kolpakov

Comments: 14 pages, 3 figures; ancillary files available at https://github.com/sashakolpakov/plof

Journal-ref: Int. Math. Res. Notices (2020)

Subjects: Geometric Topology (math.GT) ; Group Theory (math.GR) ; Metric Geometry (math.MG) ; Number Theory (math.NT)

[69] arXiv:2002.11782 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Quasi-isometric embeddings inapproximable by Anosov representations Show Chinese title

Title: 拟等距嵌入无法通过Anosov表示近似

Konstantinos Tsouvalas

Comments: 9 pages

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

[70] arXiv:2002.12367 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Remarks on Jones slopes and surfaces of knots Show Chinese title

Title: 关于琼斯斜率和扭结的表面的备注

Efstratia Kalfagianni

Comments: Minor edits. Accepted in Acta Math. Vietnamica (Proc. of the conference "Quantum Topology and Hyperbolic Geometry", Da Nang, Vietnam, May 27-31, 2019)

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

[71] arXiv:2002.12576 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: A vanishing identity on adjoint Reidemeister torsions of twist knots Show Chinese title

Title: 扭曲纽结的伴随 Reidemeister 扭率的一个消失恒等式

Seokbeom Yoon

Journal-ref: Algebr. Geom. Topol. 22 (2022) 227-249

Subjects: Geometric Topology (math.GT)

[72] arXiv:2002.12652 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Hyperbolic Knot Theory Show Chinese title

Title: 双曲纽结理论

Jessica S. Purcell

Comments: 344 pages, 158 figures

Subjects: Geometric Topology (math.GT)

[73] arXiv:2002.12799 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Co-Seifert Fibrations of Compact Flat Orbifolds Show Chinese title

Title: 紧致平坦 orbifolds 的 Co-Seifert 纤维化

John G. Ratcliffe, Steven T. Tschantz

Comments: arXiv admin note: substantial text overlap with arXiv:1112.3981, arXiv:1306.6613. The introduction has been rewritten, section 2 has been shortened, and some new references have been added

Subjects: Geometric Topology (math.GT)

[74] arXiv:2002.12849 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Finite group actions on symplectic Calabi-Yau $4$-manifolds with $b_1>0$ Show Chinese title

Title: 有限群在辛Calabi-Yau$4$-流形上的作用，带有$b_1>0$

Weimin Chen

Comments: Minor improvement, final version

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

[75] arXiv:2002.12901 (cross-list from math.GT) [cn-pdf, pdf, other]

Title: Haupt's theorem for strata of abelian differentials Show Chinese title

Title: 主定理的层流 abelian 微分

Matt Bainbridge, Chris Johnson, Chris Judge, Insung Park

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

[76] arXiv:2002.00279 (cross-list from math.GR) [cn-pdf, pdf, other]

Title: Module structure of the homology of right-angled Artin kernels Show Chinese title

Title: 右角Artin核的同调模块结构

E. Artal Bartolo, J.I. Cogolludo-Agustín, S. López de Medrano, D. Matei

Comments: 24 pages, 6 figures

Journal-ref: Algebr. Geom. Topol. 22 (2022) 2775-2803

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

[77] arXiv:2002.00286 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Families of monotone Lagrangians in Brieskorn--Pham hypersurfaces Show Chinese title

Title: Brieskorn--Pham超曲面中的单调拉格朗日族

Ailsa Keating

Comments: accepted version

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

[78] arXiv:2002.00369 (cross-list from math.HO) [cn-pdf, pdf, other]

Title: Non-Euclidean Virtual Reality IV: Sol Show Chinese title

Title: 非欧几里得虚拟现实 IV：解

Rémi Coulon, Elisabetta A. Matsumoto, Henry Segerman, Steve Trettel

Comments: 8 pages, 10 figures

Subjects: History and Overview (math.HO) ; Graphics (cs.GR) ; Geometric Topology (math.GT) ; Metric Geometry (math.MG)

[79] arXiv:2002.00513 (cross-list from math.HO) [cn-pdf, pdf, other]

Title: Non-Euclidean Virtual Reality III: Nil Show Chinese title

Title: 非欧几里得虚拟现实 III：Nil

Rémi Coulon, Elisabetta A. Matsumoto, Henry Segerman, Steve Trettel

Subjects: History and Overview (math.HO) ; Geometric Topology (math.GT) ; Metric Geometry (math.MG)

[80] arXiv:2002.00635 (cross-list from math.NT) [cn-pdf, pdf, other]

Title: Generalized Fishburn numbers and torus knots Show Chinese title

Title: 广义Fishburn数和环面扭结

Colin Bijaoui, Hans U. Boden, Beckham Myers, Robert Osburn, William Rushworth, Aaron Tronsgard, Shaoyang Zhou

Comments: 13 pages, to appear in the Journal of Combinatorial Theory, Series A

Journal-ref: Journal of Combinatorial Theory, Series A 178 (2021), 105355

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

[81] arXiv:2002.00810 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: On immersions of surfaces into SL(2,C) and geometric consequences Show Chinese title

Title: 关于曲面浸入到SL(2,C)及几何后果

Francesco Bonsante, Christian El Emam

Comments: 57 pages

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

[82] arXiv:2002.01062 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Counting minimal surfaces in negatively curved 3-manifolds Show Chinese title

Title: 在负曲率三维流形中计数极小曲面

Danny Calegari, Fernando C. Marques, André Neves

Comments: 27 pages

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

[83] arXiv:2002.01388 (cross-list from math.GR) [cn-pdf, pdf, other]

Title: Acylindrical hyperbolicity of automorphism groups of infinitely-ended groups Show Chinese title

Title: 无限端群的自同构群的圆柱双曲性

Anthony Genevois, Camille Horbez

Comments: 31 pages. To appear in Journal of Topology

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

[84] arXiv:2002.01630 (cross-list from math.MG) [cn-pdf, pdf, other]

Title: Asymptotic dimension of planes and planar graphs Show Chinese title

Title: 平面和平面图的渐近维数

Koji Fujiwara, Panos Papasoglu

Comments: Definitions of M-fat theta curve and M-coarse cactus are slightly changed. The proof of Theorem 3.2 (it used to be Theorem 3.1) is changed and now simpler. Some references are added, in particular [16] by Jorgensen and Lang

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

[85] arXiv:2002.02034 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Unwinding the relative Tate diagonal Show Chinese title

Title: 解开相对Tate对角线

Tyler Lawson

Comments: 30 pages. Comments welcome

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

[86] arXiv:2002.02223 (cross-list from math.GR) [cn-pdf, pdf, other]

Title: Automorphismes du groupe des automorphismes d'un groupe de Coxeter universel Show Chinese title

Title: 单叶群的自同构的自同构群

Yassine Guerch

Comments: 30 pages, in French, 1 figure

Journal-ref: Algebr. Geom. Topol. 24 (2024) 251-276

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

[87] arXiv:2002.04324 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Classification of Randers metric of isotropic projective Ricci curvature Show Chinese title

Title: 射影Ricci曲率为各向同性的Randers度量分类

Pejhman Vatandoost-Miandehi, Masoud Nikokar

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

[88] arXiv:2002.04594 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Pinched Curvature in Heintze Groups of Carnot-type Show Chinese title

Title: Heintze群的夹紧曲率

Brendan Burns Healy

Comments: Streamlined background and final sections

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

[89] arXiv:2002.04647 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: A homological approach to pseudoisotopy theory. I Show Chinese title

Title: 同调方法在伪同伦理论中的应用。 I

Manuel Krannich

Comments: 46 pages, to appear in Inventiones Mathematicae

Journal-ref: Inventiones Mathematicae 227 (2022) no. 3 1093-1167

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

[90] arXiv:2002.04880 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: A stable approach to the equivariant Hopf theorem Show Chinese title

Title: 一种稳定的方法到等变Hopf定理

Markus Szymik

Comments: 20 pages

Journal-ref: Topology Appl. 154 (2007) 2323-2332

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

[91] arXiv:2002.05768 (cross-list from math.GR) [cn-pdf, pdf, other]

Title: Groupes convexes-cocompacts en rang supérieur Show Chinese title

Title: 高阶中的凸共compact群

Olivier Guichard

Comments: in French, Mise en ligne de l'expos\'e fait en 2017 au s\'eminaire Bourbaki

Journal-ref: Ast\'erisque, n. 414, 2019, , p. 95 \`a 124

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

[92] arXiv:2002.06149 (cross-list from math.MG) [cn-pdf, pdf, other]

Title: Dual-cyclic polytopes of convex planar polygons with fixed vertex angles Show Chinese title

Title: 固定顶点角的凸平面多边形的双循环多面体

Lyle Ramshaw, James B. Saxe

Comments: 19 pages, 2 figures; links better formatted in this version

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

[93] arXiv:2002.06367 (cross-list from math.CO) [cn-pdf, pdf, other]

Title: Semi-equivelar maps on the surface of Euler genus 3 Show Chinese title

Title: 欧拉亏格为3的半等价地图

Debashis Bhowmik, Dipendu Maity, Ashish Kumar Upadhyay, Bhanu Pratap Yadav

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

[94] arXiv:2002.06549 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: Join theorem for real analytic singularities Show Chinese title

Title: 实解析奇点的联接定理

Kazumasa Inaba

Comments: 12 pages

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

[95] arXiv:2002.06579 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Isolations of geodesic planes in the frame bundle of a hyperbolic $3$-manifold Show Chinese title

Title: 测地平面在双曲$3$-流形的框架丛中的隔离

Amir Mohammadi, Hee Oh

Comments: 47 pages, 4 figures; to appear in Compositio Mathematica

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

[96] arXiv:2002.06672 (cross-list from math.CO) [cn-pdf, pdf, other]

Title: A bracket polynomial for 2-tangle shadows Show Chinese title

Title: 2-链环阴影的括号多项式

Franck Ramaharo

Comments: 36 pages, 81 tables, 2 figures, 9 OEIS A-numbers

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

[97] arXiv:2002.06970 (cross-list from math.GR) [cn-pdf, pdf, other]

Title: The mapping class group of the Cantor tree has only geometric normal subgroups Show Chinese title

Title: 康托尔树的映射类群只有几何正规子群

Alan McLeay

Comments: 10 pages, 1 figure, comments welcome

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

[98] arXiv:2002.07170 (cross-list from math.GR) [cn-pdf, pdf, other]

Title: The automorphism group of Rauzy diagrams Show Chinese title

Title: Rauzy图的自同构群

Corentin Boissy (IMT)

Comments: arXiv admin note: text overlap with arXiv:1010.5719

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

[99] arXiv:2002.07213 (cross-list from math.AT) [cn-pdf, pdf, other]

Title: Extreme Nonuniqueness of End-Sum Show Chinese title

Title: 极端的端和非唯一性

Jack S. Calcut, Craig R. Guilbault, Patrick V. Haggerty

Comments: 33 pages, 13 figures. Restructured the proof of Proposition 7.1 for clarity, results unchanged. Expanded Appendix A.3 on the notion of height. Minor rewording in a few places

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

[100] arXiv:2002.07642 (cross-list from math.QA) [cn-pdf, pdf, other]

Title: Representations of Motion Groups of Links via Dimension Reduction of TQFTs Show Chinese title

Title: 基于TQFT维度约减的链环运动群表示

Yang Qiu, Zhenghan Wang

Comments: Clarify the main conjecture as a twisted version of dimension reduction. To appear in Comm. Math Phys

Subjects: Quantum Algebra (math.QA) ; Geometric Topology (math.GT) ; Quantum Physics (quant-ph)