On the classification of Heegaard splittings
Geometric Topology
2018-11-14 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1509.05945,
title = {On the classification of Heegaard splittings},
author = {Tobias Holck Colding and David Gabai and Daniel Ketover},
journal= {arXiv preprint arXiv:1509.05945},
year = {2018}
}