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arXiv · 1509.05945

On the classification of Heegaard splittings

Tobias Holck Colding·David Gabai·Daniel Ketover
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Abstract

The long standing classification problem in the theory of Heegaard splittings of 3-manifolds is to exhibit for each closed 3-manifold a complete list, without duplication, of all its irreducible Heegaard surfaces, up to isotopy. We solve this problem for non Haken hyperbolic 3-manifolds.

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Tobias Holck Colding, David Gabai, Daniel Ketover. 2015-09-19. On the classification of Heegaard splittings. https://doi.org/10.1215/00127094-2018-0023

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