Geometric subgroups of mapping class groups

Details Geometric subgroups of mapping class groups Geometric subgroups of mapping class groups

1999-06-18

arxiv.org/abs/math/9906122v1

Mathematics

Geometric Topology

42 pages, 23 figures. See also http://math.u-bourgogne.fr/topolog/paris/index.html

Scientific paper

This paper is a study of the subgroups of the mapping class groups of Riemann surfaces, called "geometric" subgroups, corresponding to the inclusion of subsurfaces. Our analysis includes surfaces with boundary and with punctures. The centres of all the mapping class groups are calculated. We determine the kernel of inclusion-induced maps of the mapping class group of a subsurface, and give necessary and sufficient conditions for injectivity. In the injective case, we show that the commensurability class of a geometric subgroup completely determines up to isotopy the defining subsurface, and we characterize centralizers, normalizers, and commensurators of geometric subgroups.

Affiliated with

Also associated with

No associations

Rating

Geometric subgroups of mapping class groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric subgroups of mapping class groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric subgroups of mapping class groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615335