Trees and mapping class groups

Details Trees and mapping class groups Trees and mapping class groups

2006-11-08

arxiv.org/abs/math/0611241v2

Mathematics

Geometric Topology

v2. Completely reorganized and rewritten; 22 pages. Revision includes new proofs of theorems of Kra an Harer. v1. 18 pages

Scientific paper

There is a forgetful map from the mapping class group of a punctured surface to that of the surface with one fewer puncture. We prove that finitely generated purely pseudo-Anosov subgroups of the kernel of this map are convex cocompact in the sense of B. Farb and L. Mosher. In particular, we obtain an affirmative answer to their question of local convex cocompactness of K. Whittlesey's group. In the course of the proof, we obtain a new proof of a theorem of I. Kra. We also relate the action of this kernel on the curve complex to a family of actions on trees. This quickly yields a new proof of a theorem of J. Harer.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-407778