Orbit equivalence rigidity for ergodic actions of the mapping class group
Group Theory
2015-02-02 v3 Geometric Topology
Abstract
We establish orbit equivalence rigidity for any ergodic, essentially free and measure-preserving action on a standard Borel space with a finite positive measure of the mapping class group for a compact orientable surface with higher complexity. We prove similar rigidity results for a finite direct product of mapping class groups as well.
Keywords
Cite
@article{arxiv.math/0607601,
title = {Orbit equivalence rigidity for ergodic actions of the mapping class group},
author = {Yoshikata Kida},
journal= {arXiv preprint arXiv:math/0607601},
year = {2015}
}
Comments
11 pages, title changed, a part of contents removed