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

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