Rigidity of Teichm\"uller space
Geometric Topology
2018-12-19 v1
Abstract
We prove that the every quasi-isometry of Teichm\"uller space equipped with the Teichm\"uller metric is a bounded distance from an isometry of Teichm\"uller space. That is, Teichm\"uller space is quasi-isometrically rigid.
Keywords
Cite
@article{arxiv.1506.04774,
title = {Rigidity of Teichm\"uller space},
author = {Alex Eskin and Howard Masur and Kasra Rafi},
journal= {arXiv preprint arXiv:1506.04774},
year = {2018}
}
Comments
34 pages, 2 figures