Shrinkwrapping and the taming of hyperbolic 3-manifolds

Details Shrinkwrapping and the taming of hyperbolic 3-manifolds Shrinkwrapping and the taming of hyperbolic 3-manifolds

2004-07-09

arxiv.org/abs/math/0407161v3

Jour. Amer. Math. Soc. 19 (2006), no. 2, 385-446

Mathematics

Geometric Topology

60 pages, 7 figures; V3: incorporates referee's suggestions, references updated

Scientific paper

We introduce a new technique for finding CAT(-1) surfaces in hyperbolic
3-manifolds. We use this to show that a complete hyperbolic 3-manifold with
finitely generated fundamental group is geometrically and topologically tame.

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