Self-bumping of deformation spaces of hyperbolic 3-manifolds

Kenneth Bromberg; John Holt

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Self-bumping of deformation spaces of hyperbolic 3-manifolds

Kenneth Bromberg·John Holt

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Abstract

Let $N$ be a hyperbolic 3-manifold and $B$ a component of the interior of $AH(π_1(N))$, the space of marked hyperbolic 3-manifolds homotopy equivalent to $N$. We will give topological conditions on $N$ sufficient to give $ρ\in \bar{B}$ such that for every small neighborhood $V$ of $ρ$, $V \cap B$ is disconnected. This implies that $\bar{B}$ is not manifold with boundary.

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BibTeX RIS

Kenneth Bromberg, John Holt. 2000-09-15. Self-bumping of deformation spaces of hyperbolic 3-manifolds. https://arxiv.org/abs/math/0009151

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