Global fixed points of mapping class group actions and a theorem of Markovic
Geometric Topology
2020-03-06 v1 Dynamical Systems
Abstract
We give a short and elementary proof of the non-realizability of the mapping class group via homeomorphisms. This was originally established by Markovic, resolving a conjecture of Thurston. With the tools established in this paper, we also obtain some rigidity results for actions of the mapping class group on Euclidean spaces.
Keywords
Cite
@article{arxiv.2003.02440,
title = {Global fixed points of mapping class group actions and a theorem of Markovic},
author = {Lei Chen and Nick Salter},
journal= {arXiv preprint arXiv:2003.02440},
year = {2020}
}
Comments
14 pages, 7 figures