Deformation spaces of Kleinian surface groups are not locally connected

Details Deformation spaces of Kleinian surface groups are not locally connected Deformation spaces of Kleinian surface groups are not locally connected

2010-03-23

arxiv.org/abs/1003.4541v1

Mathematics

Geometric Topology

Scientific paper

For any closed surface $S$ of genus $g \geq 2$, we show that the deformation space of marked hyperbolic 3-manifolds homotopy equivalent to $S$, $AH(S \times I)$, is not locally connected. This proves a conjecture of Bromberg who recently proved that the space of Kleinian punctured torus groups is not locally connected. Playing an essential role in our proof is a new version of the filling theorem that is based on the theory of cone-manifold deformations developed by Hodgson, Kerckhoff, and Bromberg.

Affiliated with

Also associated with

No associations

Rating

Deformation spaces of Kleinian surface groups are not locally connected 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 Deformation spaces of Kleinian surface groups are not locally connected, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deformation spaces of Kleinian surface groups are not locally connected will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-56467