On a stratification of the space of (projective) measured laminations
Geometric Topology
2019-11-01 v1
Abstract
We introduce a natural stratification of the space of projective classes of measured laminations on a complete hyperbolic surface of finite area. We prove a rigidity result, namely, the group of self-homeomorphisms of the space of projective measured laminations that preserve such a stratification is in general identified with the extended mapping class group of the corresponding surface. We use this approach to fill a gap in the proof of the rigidity of the action of the extended mapping class group on the unmeasured laminations space.
Keywords
Cite
@article{arxiv.1910.14143,
title = {On a stratification of the space of (projective) measured laminations},
author = {Vincent Alberge},
journal= {arXiv preprint arXiv:1910.14143},
year = {2019}
}