Shrinkwrapping and the taming of hyperbolic 3-manifolds

Calegari, Danny; Gabai, David

doi:10.1090/S0894-0347-05-00513-8

Shrinkwrapping and the taming of hyperbolic 3-manifolds
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by Danny Calegari and David Gabai

J. Amer. Math. Soc. 19 (2006), 385-446

DOI: https://doi.org/10.1090/S0894-0347-05-00513-8

Published electronically: December 7, 2005

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Abstract:

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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