On the classification of Heegaard splittings

Tobias Holck Colding; David Gabai; Daniel Ketover

doi:10.1215/00127094-2018-0023

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.

Citation

Download Citation

Tobias Holck Colding. David Gabai. Daniel Ketover. "On the classification of Heegaard splittings." Duke Math. J. 167 (15) 2833 - 2856, 15 October 2018. https://doi.org/10.1215/00127094-2018-0023

Information

Received: 4 October 2015; Revised: 10 January 2018; Published: 15 October 2018

First available in Project Euclid: 3 October 2018

zbMATH: 06982208

MathSciNet: MR3865653

Digital Object Identifier: 10.1215/00127094-2018-0023

Subjects:

Primary: 57M50

Keywords: 3-manifold , Foliation , Heegaard , Hyperbolic , minimal surface , sweep-out

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS