Generating the spin mapping class group by Dehn twists [article]

Ursula Hamenstädt
2021 arXiv   pre-print
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.
arXiv:2002.08213v3 fatcat:5pytatz7hzf6jcofqwxvf7x5ye