On dynamics of Out(F_n) on PSL(2,C) characters

Details On dynamics of Out(F_n) on PSL(2,C) characters On dynamics of Out(F_n) on PSL(2,C) characters

2009-06-18

arxiv.org/abs/0906.3491v2

Mathematics

Geometric Topology

Scientific paper

This note introduces and studies an open set of PSL(2,C) characters of a nonabelian free group, on which the action of the outer automorphism group is properly discontinuous, and which is strictly larger than the set of discrete, faithful convex-cocompact (i.e. Schottky) characters. This implies, in particular, that the outer automorphism group does not act ergodically on the set of characters with dense image. Hence there is a difference between the geometric (discrete vs. dense) decomposition of the characters, and a natural dynamical decomposition.

Affiliated with

Also associated with

No associations

Rating

On dynamics of Out(F_n) on PSL(2,C) characters 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 On dynamics of Out(F_n) on PSL(2,C) characters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On dynamics of Out(F_n) on PSL(2,C) characters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-725863