Automorphisms of the fine curve graph
Geometric Topology
2021-08-12 v1
Abstract
Building on work of Farb and the second author, we prove that the group of automorphisms of the fine curve graph for a surface is isomorphic to the group of homeomorphisms of the surface. This theorem is analogous to the seminal result of Ivanov that the group of automorphisms of the (classical) curve graph is isomorphic to the extended mapping class group of the corresponding surface.
Cite
@article{arxiv.2108.04872,
title = {Automorphisms of the fine curve graph},
author = {Adele Long and Dan Margalit and Anna Pham and Yvon Verberne and Claudia Yao},
journal= {arXiv preprint arXiv:2108.04872},
year = {2021}
}
Comments
17 pages, 4 figures