Generating the spin mapping class group by Dehn twists
Geometric Topology
2021-06-11 v3
Abstract
Let f be a Z/2Z-spin structureon a closed surface S of genus g>3. We determine a generating set of the stabilizer of f in the mapping class group of S consisting of Dehn twists about an explicit collection of 2g+1 curves in S. If g=3 then we also determine a generating set of the stabilizer of an odd Z/2Z-spin structure consisting of Dehn twists about a collection of 6 curves.
Cite
@article{arxiv.2002.08213,
title = {Generating the spin mapping class group by Dehn twists},
author = {Ursula Hamenstädt},
journal= {arXiv preprint arXiv:2002.08213},
year = {2021}
}
Comments
Final version. A considerable simplification in Section 2. 41 pages, 5 figures