TY - JOUR
T1 - On the classification of Heegaard splittings
AU - Colding, Tobias Holck
AU - Gabai, David
AU - Ketover, Daniel
N1 - Publisher Copyright:
© 2018.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - 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.
AB - 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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U2 - 10.1215/00127094-2018-0023
DO - 10.1215/00127094-2018-0023
M3 - Article
AN - SCOPUS:85055273523
SN - 0012-7094
VL - 167
SP - 2833
EP - 2856
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 15
ER -