Introductory bumponomics: the topology of deformation spaces of hyperbolic 3-manifolds

Details Introductory bumponomics: the topology of deformation spaces of hyperbolic 3-manifolds Introductory bumponomics: the topology of deformation spaces of hyperbolic 3-manifolds

2010-01-13

arxiv.org/abs/1001.2080v1

Mathematics

Geometric Topology

Written in Fall 2007, based on a talk given in January 2006 at the workshop on Teichmuller theory and Moduli problems at the H

Scientific paper

We survey work on the topology of the space AH(M) of all (marked) hyperbolic
3-manifolds homotopy equivalent to a fixed compact 3-manifold M with boundary.
The interior of AH(M) is quite well-understood, but the topology of the entire
space can be quite complicated. However, the topology is well-behaved at many
points in the boundary of AH(M).

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