Abstract
We give an algorithmic proof of the theorem that a closed orientable irreducible and atoroidal –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 –manifold.
Citation
Tao Li. "An algorithm to determine the Heegaard genus of a $3$–manifold." Geom. Topol. 15 (2) 1029 - 1106, 2011. https://doi.org/10.2140/gt.2011.15.1029
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