Existence and classification of overtwisted contact structures in all dimensions
We establish a parametric extension h-principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the 3-dimensional result from. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer Netherlands
2016
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| Online Access: | http://hdl.handle.net/1721.1/104454 https://orcid.org/0000-0002-8787-6739 |
| _version_ | 1826208594963464192 |
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| author | Eliashberg, Yakov Borman, Matthew Strom Murphy, Emmy Le |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Eliashberg, Yakov Borman, Matthew Strom Murphy, Emmy Le |
| author_sort | Eliashberg, Yakov |
| collection | MIT |
| description | We establish a parametric extension h-principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the 3-dimensional result from. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost contact structures. |
| first_indexed | 2024-09-23T14:08:06Z |
| format | Article |
| id | mit-1721.1/104454 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:08:06Z |
| publishDate | 2016 |
| publisher | Springer Netherlands |
| record_format | dspace |
| spelling | mit-1721.1/1044542024-06-26T14:56:53Z Existence and classification of overtwisted contact structures in all dimensions Eliashberg, Yakov Borman, Matthew Strom Murphy, Emmy Le Massachusetts Institute of Technology. Department of Mathematics Murphy, Emmy Le We establish a parametric extension h-principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the 3-dimensional result from. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost contact structures. National Science Foundation (U.S.) (Grant DMS-1510305) 2016-09-30T17:00:14Z 2017-03-01T16:14:49Z 2016-02 2016-08-18T15:20:41Z Article http://purl.org/eprint/type/JournalArticle 0001-5962 1871-2509 http://hdl.handle.net/1721.1/104454 Borman, Matthew Strom, Yakov Eliashberg, and Emmy Murphy. “Existence and Classification of Overtwisted Contact Structures in All Dimensions.” Acta Mathematica 215.2 (2015): 281–361. https://orcid.org/0000-0002-8787-6739 en http://dx.doi.org/10.1007/s11511-016-0134-4 Acta Mathematica Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Institut Mittag-Leffler application/pdf Springer Netherlands Springer Netherlands |
| spellingShingle | Eliashberg, Yakov Borman, Matthew Strom Murphy, Emmy Le Existence and classification of overtwisted contact structures in all dimensions |
| title | Existence and classification of overtwisted contact structures in all dimensions |
| title_full | Existence and classification of overtwisted contact structures in all dimensions |
| title_fullStr | Existence and classification of overtwisted contact structures in all dimensions |
| title_full_unstemmed | Existence and classification of overtwisted contact structures in all dimensions |
| title_short | Existence and classification of overtwisted contact structures in all dimensions |
| title_sort | existence and classification of overtwisted contact structures in all dimensions |
| url | http://hdl.handle.net/1721.1/104454 https://orcid.org/0000-0002-8787-6739 |
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