On the classification of Heegaard splittings
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Duke mathematical journal
Duke University Press
Colding, Tobias Holck, David Gabai and Daniel Ketover. "On the classification of Heegaard splittings." Duke mathematical journal Volume 167 (2018) © 2018 The Author(s)