%0 Journal Article
%T Deformation spaces of Kleinian surface groups are not locally connected
%A Aaron D. Magid
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1003.4541v1