On the classification of Heegaard splittings
Name
1509.05945.pdf
Description
Submitted version
Size
792.22 KB
Format
Adobe PDF
Checksum (MD5)
de3c2024d0a44c6b0d49a4210473057e
Author(s)
Colding, Tobias
Date Issued
October 2018
Journal
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1215/00127094-2018-0023
