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arXiv:math/0408198 [math.GT]AbstractReferencesReviewsResources

Heegaard surfaces and measured laminations, I: the Waldhausen conjecture

Tao Li

Published 2004-08-15, updated 2007-01-14Version 5

We give a proof of the so-called generalized Waldhausen conjecture, which says that an orientable irreducible atoroidal 3-manifold has only finitely many Heegaard splittings in each genus, up to isotopy. Jaco and Rubinstein have announced a proof of this conjecture using different methods.

Journal: Invent. Math. 167 (2007) no. 1, 135-177
Categories: math.GT
Subjects: 57M50, 57N10, 57M25
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