The twist subgroup of the mapping class group of a nonorientable surface
Geometric Topology
2014-02-18 v1
Abstract
Let T(N) be the subgroup of the mapping class group of a nonorientable surface N (possibly with punctures and/or boundary components) generated by twists about two-sided circles. We obtain a simple generating set for T(N). As an application we compute the first homology group (abelianization) of T(N).
Keywords
Cite
@article{arxiv.0709.2798,
title = {The twist subgroup of the mapping class group of a nonorientable surface},
author = {Michal Stukow},
journal= {arXiv preprint arXiv:0709.2798},
year = {2014}
}