The curve complex and covers via hyperbolic 3-manifolds
Geometric Topology
2012-08-06 v1
Abstract
Rafi and Schleimer recently proved that the natural relation between curve complexes induced by a covering map between two surfaces is a quasi-isometric embedding. We offer another proof of this result using a distance estimate via hyperbolic 3-manifolds.
Cite
@article{arxiv.1104.3492,
title = {The curve complex and covers via hyperbolic 3-manifolds},
author = {Robert Tang},
journal= {arXiv preprint arXiv:1104.3492},
year = {2012}
}
Comments
5 pages