Local topology in deformation spaces of hyperbolic 3-manifolds

Details Local topology in deformation spaces of hyperbolic 3-manifolds Local topology in deformation spaces of hyperbolic 3-manifolds

2009-11-07

arxiv.org/abs/0911.1432v1

Mathematics

Geometric Topology

Scientific paper

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.

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