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Heegaard surfaces and measured laminations

Geometry/Topology

Speaker: Tao Li, Oklahoma State University
Location: 693 Kerr
Start time: Wed, Apr 20 2005, 4:10PM

We study the limit of strongly irreducible Heegaard surfaces in the projective measured lamination space. We show that a closed non-Haken 3-manifold has only finitely many irreducible Heegaard splittings, up to isotopy. This gives a complete answer to a conjecture of Waldhausen.