English

Examples of relative deformation spaces that are not locally connected

Geometric Topology 2008-04-15 v1

Abstract

We provide an infinite family of pared manifolds whose relative deformation spaces of hyperbolic structures on these manifolds are not locally connected. This is a natural extension of the recent result of Bromberg that shows the space of Kleinian punctured torus groups is not locally connected.

Keywords

Cite

@article{arxiv.0804.2073,
  title  = {Examples of relative deformation spaces that are not locally connected},
  author = {Aaron Magid},
  journal= {arXiv preprint arXiv:0804.2073},
  year   = {2008}
}
R2 v1 2026-06-21T10:30:19.933Z