Self-bumping of deformation spaces of hyperbolic 3-manifolds

Details Self-bumping of deformation spaces of hyperbolic 3-manifolds Self-bumping of deformation spaces of hyperbolic 3-manifolds

2000-09-15

arxiv.org/abs/math/0009151v1

Mathematics

Geometric Topology

Scientific paper

Let $N$ be a hyperbolic 3-manifold and $B$ a component of the interior of
$AH(\pi_1(N))$, the space of marked hyperbolic 3-manifolds homotopy equivalent
to $N$. We will give topological conditions on $N$ sufficient to give $\rho \in
\bar{B}$ such that for every small neighborhood $V$ of $\rho$, $V \cap B$ is
disconnected. This implies that $\bar{B}$ is not manifold with boundary.

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