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Shrinkwrapping, and the tameness of hyperbolic 3-manifoldsGeometry/Topology
|Speaker:||Danny Calegari, CalTech|
|Start time:||Wed, Jan 19 2005, 4:10PM|
(This is joint work with Dave Gabai). We introduce a new technique called *shrinkwrapping* for finding CAT(-1) surfaces in hyperbolic manifolds. Using this, we show that a complete hyperbolic 3-manifold with finitely generated fundamental group is geometrically and topologically tame.