Local topology in deformation spaces of hyperbolic 3-manifolds II

2017/09/08 by Brock, Jeffrey, Bromberg, Kenneth, Canary, Richard +2
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1709.02825

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 quasiconformally rigid points.

Related

• Introductory bumponomics: the topology of deformation spaces of hyperbolic 3-manifolds
• Deformation spaces of Kleinian surface groups are not locally connected
• Self-bumping of deformation spaces of hyperbolic 3-manifolds
• Rigidity results for certain 3-dimensional singular spaces and their fundamental groups
• Hyperbolic Structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary