Uniform hyperbolicity of the curve graph via surgery sequences
Geometric Topology
2015-05-27 v1
Abstract
We prove that the curve graph is Gromov-hyperbolic with a constant of hyperbolicity independent of the surface . The proof is based on the proof of hyperbolicity of the free splitting complex by Handel and Mosher, as interpreted by Hilion and Horbez.
Keywords
Cite
@article{arxiv.1302.5519,
title = {Uniform hyperbolicity of the curve graph via surgery sequences},
author = {Matt Clay and Kasra Rafi and Saul Schleimer},
journal= {arXiv preprint arXiv:1302.5519},
year = {2015}
}
Comments
18 pages, 3 figures