Pseudo-Anosov mapping classes from pure mapping classes
Geometric Topology
2017-01-06 v2 Group Theory
Abstract
We study types of mapping classes which arise as a product of a given mapping class and powers of certain pure mapping classes. We derive an explicit constant depending only on a surface such that almost all above pure mapping classes give rise to pseudo-Anosov type whenever their powers are larger than the constant. Furthermore, the stable lengths of pseudo-Anosov mapping classes obtained by this method are directly captured from the construction.
Keywords
Cite
@article{arxiv.1611.05119,
title = {Pseudo-Anosov mapping classes from pure mapping classes},
author = {Yohsuke Watanabe},
journal= {arXiv preprint arXiv:1611.05119},
year = {2017}
}
Comments
Typos are fixed. No mathematical change from v1