Big mapping class groups and rigidity of the simple circle
Dynamical Systems
2024-11-26 v4 Group Theory
Geometric Topology
Abstract
Let denote the mapping class group of the plane minus a Cantor set. We show that every action of on the circle is either trivial or semi-conjugate to a unique minimal action on the so-called simple circle.
Cite
@article{arxiv.1907.07903,
title = {Big mapping class groups and rigidity of the simple circle},
author = {Danny Calegari and Lvzhou Chen},
journal= {arXiv preprint arXiv:1907.07903},
year = {2024}
}
Comments
v4: fixed a typo in the proof of Theorem 5.4