On the classification of Heegaard splittings
Author(s)
Colding, Tobias
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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.
Date issued
2018-10Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Duke mathematical journal
Publisher
Duke University Press
Citation
Colding, Tobias Holck, David Gabai and Daniel Ketover. "On the classification of Heegaard splittings." Duke mathematical journal Volume 167 (2018) © 2018 The Author(s)
Version: Original manuscript
ISSN
0012-7094