C^1 actions of the mapping class group on the circle

Details C^1 actions of the mapping class group on the circle C^1 actions of the mapping class group on the circle

2008-03-29

arxiv.org/abs/0803.4281v1

Mathematics

Dynamical Systems

9 pages

Scientific paper

Let S be a connected orientable surface with finitely many punctures, finitely many boundary components, and genus at least 6. Then any C^1 action of the mapping class group of S on the circle is trivial. The techniques used in the proof of this result permit us to show that products of Kazhdan groups and certain lattices cannot have C^1 faithful actions on the circle. We also prove that for n > 5, any C^1 action of Aut(F_n) or Out(F_n) on the circle factors through an action of Z/2Z.

Affiliated with

Also associated with

No associations

Rating

C^1 actions of the mapping class group on the circle 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 C^1 actions of the mapping class group on the circle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and C^1 actions of the mapping class group on the circle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-511638