#### Volume 15, issue 2 (2011)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Author Index To Appear Other MSP Journals
Local topology in deformation spaces of hyperbolic $3$–manifolds

### Jeffrey F Brock, Kenneth W Bromberg, Richard D Canary and Yair N Minsky

Geometry & Topology 15 (2011) 1169–1224
##### Abstract

We prove that the deformation space $AH\left(M\right)$ of marked hyperbolic $3$–manifolds homotopy equivalent to a fixed compact $3$–manifold $M$ with incompressible boundary is locally connected at minimally parabolic points. Moreover, spaces of Kleinian surface groups are locally connected at quasiconformally rigid points. Similar results are obtained for deformation spaces of acylindrical $3$–manifolds and Bers slices.

##### Keywords
Kleinian group, hyperbolic $3$–manifold, deformation space, bumping
Primary: 30F40
Secondary: 57M50