On the classification of Heegaard splittings

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.

Bibliographic Details
Main Author: Colding, Tobias
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Duke University Press 2020
Online Access:https://hdl.handle.net/1721.1/124217