Mathematics – Geometric Topology
Scientific paper
2010-02-09
Mathematics
Geometric Topology
74 pages, 13 figures
Scientific paper
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.
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