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

Li, Tao¹

¹ Department of Mathematics, Boston College, Chestnut Hill MA 02467, USA

Geometry & topology, Tome 15 (2011) no. 2, pp. 1029-1106.

Résumé

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.

Détail

DOI : 10.2140/gt.2011.15.1029

Keywords: Heegaard splitting, algorithm, Heegaard genus, branched surface

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