Local topology in deformation spaces of hyperbolic 3-manifolds
Geometric Topology
2014-11-11 v1 Differential Geometry
Abstract
We prove that the deformation space AH(M) 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
Cite
@article{arxiv.0911.1432,
title = {Local topology in deformation spaces of hyperbolic 3-manifolds},
author = {Jeffrey F. Brock and Kenneth W. Bromberg and Richard D. Canary and Yair N. Minsky},
journal= {arXiv preprint arXiv:0911.1432},
year = {2014}
}