On the classification of Heegaard splittings

Tobias Holck Colding, David Gabai, Daniel Ketover

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)2833-2856
Number of pages24
JournalDuke Mathematical Journal
Volume167
Issue number15
DOIs
StatePublished - Oct 1 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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