The geometry of the disk complex
Geometric Topology
2010-10-18 v1
Abstract
We give a distance estimate for the metric on the disk complex and show that it is Gromov hyperbolic. As another application of our techniques, we find an algorithm which computes the Hempel distance of a Heegaard splitting, up to an error depending only on the genus.
Cite
@article{arxiv.1010.3174,
title = {The geometry of the disk complex},
author = {Howard Masur and Saul Schleimer},
journal= {arXiv preprint arXiv:1010.3174},
year = {2010}
}
Comments
73 pages