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Heegaard surfaces and measured laminations, I: The Waldhausen conjecture

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Abstract

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.

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  1. Department of Mathematics, Oklahoma State University, Stillwater, OK, 74078, USA

    Tao Li

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Li, T. Heegaard surfaces and measured laminations, I: The Waldhausen conjecture. Invent. math. 167, 135–177 (2007). https://doi.org/10.1007/s00222-006-0009-y

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