| dc.contributor.author | Eliashberg, Yakov | |
| dc.contributor.author | Borman, Matthew Strom | |
| dc.contributor.author | Murphy, Emmy Le | |
| dc.date.accessioned | 2016-09-30T17:00:14Z | |
| dc.date.available | 2017-03-01T16:14:49Z | |
| dc.date.issued | 2016-02 | |
| dc.identifier.issn | 0001-5962 | |
| dc.identifier.issn | 1871-2509 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/104454 | |
| dc.description.abstract | 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. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1510305) | en_US |
| dc.publisher | Springer Netherlands | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s11511-016-0134-4 | en_US |
| dc.rights | 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. | en_US |
| dc.source | Springer Netherlands | en_US |
| dc.title | Existence and classification of overtwisted contact structures in all dimensions | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | 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. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.contributor.mitauthor | Murphy, Emmy Le | |
| dc.relation.journal | Acta Mathematica | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2016-08-18T15:20:41Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Institut Mittag-Leffler | |
| dspace.orderedauthors | Borman, Matthew Strom; Eliashberg, Yakov; Murphy, Emmy | en_US |
| dspace.embargo.terms | N | en |
| dc.identifier.orcid | https://orcid.org/0000-0002-8787-6739 | |
| mit.license | PUBLISHER_POLICY | en_US |
