Least dilatation of pure surface braids
Geometric Topology
2019-03-20 v1 Dynamical Systems
Group Theory
Abstract
We study the minimal dilatation of pseudo-Anosov pure surface braids and provide upper and lower bounds as a function of genus and the number of punctures. For a fixed number of punctures, these bounds tend to infinity as the genus does. We also bound the dilatation of pseudo-Anosov pure surface braids away from zero and give a constant upper bound in the case of a sufficient number of punctures.
Keywords
Cite
@article{arxiv.1801.10564,
title = {Least dilatation of pure surface braids},
author = {Marissa Loving},
journal= {arXiv preprint arXiv:1801.10564},
year = {2019}
}
Comments
16 pages, 9 figures, with an appendix by Marissa Loving and Hugo Parlier