An algorithm to determine the Heegaard genus of a 3-manifold

Abstract

We give an algorithmic proof of the theorem that a closed orientable irreducible and atoroidal 3-manifold has only finitely many Heegaard splittings in each genus, up to isotopy. The proof gives an algorithm to determine the Heegaard genus of an atoroidal 3-manifold.

74 pages, 13 figures

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