Subgroups generated by two Dehn twists on a nonorientable surface
Geometric Topology
2016-08-18 v4
Abstract
Let a and b be two simple closed curves on an orientable surface S such that their geometric intersection number is greater than 1. It is known that the group generated by corresponding Dehn twists t_a and t_b is isomorphic to the free group of rank 2. In this paper we extend this result to the case of a nonorientable surface.
Cite
@article{arxiv.1310.3033,
title = {Subgroups generated by two Dehn twists on a nonorientable surface},
author = {Michal Stukow},
journal= {arXiv preprint arXiv:1310.3033},
year = {2016}
}
Comments
This version incorporates the referee's suggestions. To appear in Topology Proceedings