Quasiconvexity in the curve complex
Geometric Topology
2007-05-23 v1
Abstract
Let S be the boundary of a handlebody M. We prove that the set of curves in S that are boundaries of disks in M, considered as a subset of the complex of curves of S, is quasi-convex.
Keywords
Cite
@article{arxiv.math/0307083,
title = {Quasiconvexity in the curve complex},
author = {Howard A. Masur and Yair N. Minsky},
journal= {arXiv preprint arXiv:math/0307083},
year = {2007}
}
Comments
11 pages, 2 figures