Global fixed points for centralizers and Morita's Theorem

Details Global fixed points for centralizers and Morita's Theorem Global fixed points for centralizers and Morita's Theorem

2008-01-04

arxiv.org/abs/0801.0736v1

Mathematics

Dynamical Systems

Scientific paper

We prove a global fixed point theorem for the centralizer of a homeomorphism of the two dimensional disk $D$ that has attractor-repeller dynamics on the boundary with at least two attractors and two repellers. As one application, we show that there is a finite index subgroup of the centralizer of a pseudo-Anosov homeomorphism with infinitely many global fixed points. As another application we give an elementary proof of Morita's Theorem, that the mapping class group of a closed surface $S$ of genus $g$ does not lift to the group of diffeormorphisms of $S$ and we improve the lower bound for $g$ from 5 to 3.

Affiliated with

Also associated with

No associations

Rating

Global fixed points for centralizers and Morita's Theorem 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 Global fixed points for centralizers and Morita's Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global fixed points for centralizers and Morita's Theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-639706