Shrinkwrapping and the taming of hyperbolic 3-manifolds
arXiv:math/0407161
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.
60 pages, 7 figures; V3: incorporates referee's suggestions, references updated