EZ-structures and topological applications

Details EZ-structures and topological applications EZ-structures and topological applications

2004-05-13

arxiv.org/abs/math/0405260v1

Comment. Math. Helv., 80 (2005), pgs. 103-121.

Mathematics

Geometric Topology

21 pages, final version will appear in Comment. Math. Helv

Scientific paper

We introduce the notion of an EZ-structure on a group. Delta-hyperbolic groups and CAT(0)-groups have EZ-structures. We show torsion-free groups having an EZ-structure automatically have an action by homeomorphisms on a closed (high-dimensional) ball, which is well-behaved away from a "bad limit set" in the boundary of the ball. We show that groups having such an action satisfy the Novikov conjecture. For torsion-free delta-hyperbolic groups $G$, we also give a lower bound for the homotopy groups $\pi_n(P(BG))$, where $P$ is the stable topological pseudo-isotopy functor.

Affiliated with

Also associated with

No associations

Rating

EZ-structures and topological applications 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 EZ-structures and topological applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and EZ-structures and topological applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-618921