Lower Bound For Dilatations
Geometric Topology
2018-05-03 v2
Abstract
We prove a new lower bound for the dilatation of an arbitrary pseudo-Anosov map on a surface of genus g with n punctures. Our bound improves the former super-exponential dependence on the genus by a polynomial dependence.
Keywords
Cite
@article{arxiv.1610.04278,
title = {Lower Bound For Dilatations},
author = {Mehdi Yazdi},
journal= {arXiv preprint arXiv:1610.04278},
year = {2018}
}
Comments
Accepted for publication by the Journal of Topology, 14 pages, Exposition improved, preliminaries and an appendix are added