On the classification of Heegaard splittings
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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| Format: | Article |
| Language: | English |
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Duke University Press
2020
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| Online Access: | https://hdl.handle.net/1721.1/124217 |
| _version_ | 1826208597769453568 |
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| author | Colding, Tobias |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Colding, Tobias |
| author_sort | Colding, Tobias |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:08:09Z |
| format | Article |
| id | mit-1721.1/124217 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:08:09Z |
| publishDate | 2020 |
| publisher | Duke University Press |
| record_format | dspace |
| spelling | mit-1721.1/1242172022-09-28T18:47:58Z On the classification of Heegaard splittings Colding, Tobias Massachusetts Institute of Technology. Department of Mathematics 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. National Science Foundation (U.S.) (Grants DM 1404540) National Science Foundation (U.S.) (FRG grant DMS 0854774) 2020-03-24T11:29:37Z 2020-03-24T11:29:37Z 2018-10 2019-11-08T19:32:13Z Article http://purl.org/eprint/type/JournalArticle 0012-7094 https://hdl.handle.net/1721.1/124217 Colding, Tobias Holck, David Gabai and Daniel Ketover. "On the classification of Heegaard splittings." Duke mathematical journal Volume 167 (2018) © 2018 The Author(s) en 10.1215/00127094-2018-0023 Duke mathematical journal Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Duke University Press arXiv |
| spellingShingle | Colding, Tobias On the classification of Heegaard splittings |
| title | On the classification of Heegaard splittings |
| title_full | On the classification of Heegaard splittings |
| title_fullStr | On the classification of Heegaard splittings |
| title_full_unstemmed | On the classification of Heegaard splittings |
| title_short | On the classification of Heegaard splittings |
| title_sort | on the classification of heegaard splittings |
| url | https://hdl.handle.net/1721.1/124217 |
| work_keys_str_mv | AT coldingtobias ontheclassificationofheegaardsplittings |