Examples of relative deformation spaces that are not locally connected

Details Examples of relative deformation spaces that are not locally connected Examples of relative deformation spaces that are not locally connected

2008-04-13

arxiv.org/abs/0804.2073v1

Mathematics

Geometric Topology

Scientific paper

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.

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