Mathematics – Geometric Topology
Scientific paper
2004-08-15
Invent. Math. 167 (2007) no. 1, 135-177
Mathematics
Geometric Topology
Scientific paper
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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