arXiv Analytics

Sign in

arXiv:0709.2798 [math.GT]AbstractReferencesReviewsResources

The twist subgroup of the mapping class group of a nonorientable surface

Michal Stukow

Published 2007-09-18Version 1

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).

Journal: Osaka Journal of Mathematics 46/3 (2009), 717-738
Categories: math.GT
Subjects: 57N05, 20F38, 57M99
Related articles: Most relevant | Search more
arXiv:1308.5856 [math.GT] (Published 2013-08-27)
A presentation for the mapping class group of a nonorientable surface
arXiv:2206.13640 [math.GT] (Published 2022-06-27)
The first homology group with twisted coefficients for the mapping class group of a non-orientable surface of genus three with two boundary components
arXiv:2206.13642 [math.GT] (Published 2022-06-27)
The first homology group with twisted coefficients for the mapping class group of a non-orientable surface with boundary

Links

Toolbox