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15 October 2018 On the classification of Heegaard splittings
Tobias Holck Colding, David Gabai, Daniel Ketover
Duke Math. J. 167(15): 2833-2856 (15 October 2018). 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.

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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

Rights: Copyright © 2018 Duke University Press

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Vol.167 • No. 15 • 15 October 2018
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