\int_x^{hx}(g^*α-α)

Details \int_x^{hx}(g^*α-α) \int_x^{hx}(g^*α-α)

2011-05-04

arxiv.org/abs/1105.0825v2

Mathematics

Geometric Topology

Scientific paper

Let X be a connected topological space admitting a universal cover. Let a be a degree one cohomology class on X. We define and study a two-cocycle on a group acting on X by homeomorphisms preserving the class a. We use this cocycle to investigate group actions on X. For example, we show that if an action preserves a Borel probability measure on X then the cocycle is cohomologically trivial. Under various assumptions on a homeomorphism g, we prove that it is undistorted in Homeo(X,a). In particular, we introduce a local rotation number of a homeomorphism and prove that a homeomorphism with non-constant local rotation number is undistorted.

Affiliated with

Also associated with

No associations

Rating

\int_x^{hx}(g^*α-α) 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 \int_x^{hx}(g^*α-α), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and \int_x^{hx}(g^*α-α) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689524