Covers and the curve complex
Geometric Topology
2014-11-11 v2
Abstract
We provide the first non-trivial examples of quasi-isometric embeddings between curve complexes. These are induced either by puncturing a closed surface or via orbifold coverings. As a corollary, we give new quasi-isometric embeddings between mapping class groups.
Keywords
Cite
@article{arxiv.math/0701719,
title = {Covers and the curve complex},
author = {Kasra Rafi and Saul Schleimer},
journal= {arXiv preprint arXiv:math/0701719},
year = {2014}
}
Comments
12 pages, no figures. Added application to mapping class groups