Big mapping class groups and rigidity of the simple circle

被引：8

作者：

CALEGARI, D. A. N. N. Y. ^{[1
]}

CHEN, L. V. Z. H. O. U. ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2021年 / 41卷 / 07期

基金：

美国国家科学基金会;

关键词：

group actions; low-dimensional dynamics; big mapping class groups; rigidity; GRAPHS;

D O I：

10.1017/etds.2020.43

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Gamma denote the mapping class group of the plane minus a Cantor set. We show that every action of Gamma on the circle is either trivial or semiconjugate to a unique minimal action on the so-called simple circle.

引用

页码：1961 / 1987

页数：27

共 50 条

[31] Character rigidity of simple algebraic groups
Bachir Bekka
Mathematische Annalen, 2020, 378 : 1223 - 1243
[32] Graphs of curves and arcs quasi-isometric to big mapping class groups
Schaffer-Cohen, Anschel
GROUPS GEOMETRY AND DYNAMICS, 2024, 18 (01) : 705 - 735
[33] Mapping Class Groups
Kim, Sang-hyun
Koberda, Thomas
Mj, Mahan
FLEXIBILITY OF GROUP ACTIONS ON THE CIRCLE, 2019, 2231 : 93 - 96
[34] GEOMETRIC RIGIDITY OF SIMPLE MODULES FOR ALGEBRAIC GROUPS
Bate, Michael
Stewart, David I.
arXiv,
[35] Measure equivalence rigidity of the mapping class group
Kida, Yoshikata
ANNALS OF MATHEMATICS, 2010, 171 (03) : 1851 - 1901
[36] First cohomology of pure mapping class groups of big genus one and zero surfaces
Domat, Gorge
Plummer, Paul
NEW YORK JOURNAL OF MATHEMATICS, 2020, 26 : 322 - 333
[37] MAPPING CLASS GROUPS ARE AUTOMATIC
Mosher, Lee
MATHEMATICAL RESEARCH LETTERS, 1994, 1 (02) : 249 - 255
[38] Injections of mapping class groups
Aramayona, Javier
Leininger, Christopher J.
Souto, Juan
GEOMETRY & TOPOLOGY, 2009, 13 : 2523 - 2541
[39] Roots in the mapping class groups
Bonatti, Christian
Paris, Luis
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2009, 98 : 471 - 503
[40] FINITENESS OF MAPPING CLASS GROUPS
Hong, Sungbok
Yang, Jin
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (04) : 1297 - 1302

← 1 2 3 4 5 →