Homomorphisms from mapping class groups

Details Homomorphisms from mapping class groups Homomorphisms from mapping class groups

2003-07-09

arxiv.org/abs/math/0307107v1

Mathematics

Geometric Topology

11 pages, 2 pictures

Scientific paper

This paper concerns rigidity of the mapping class groups. We show that any
homomorphism $\phi:{\rm Mod}_g\to {\rm Mod}_h$ between mapping class groups of
closed orientable surfaces with distinct genera $g>h$ is trivial if $g\geq 3$
and has finite image for all $g\geq 1$. Some implications are drawn for more
general homomorphs of these groups.

Affiliated with

Also associated with

No associations

Rating

Homomorphisms from 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 Homomorphisms from mapping class groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homomorphisms from mapping class groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577522