Existence and classification of overtwisted contact structures in all dimensions
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11511_2016_Article_134.pdf
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Author(s)
Eliashberg, Yakov
Borman, Matthew Strom
Murphy, Emmy Le
Date Issued
February 2016
Journal
Acta Mathematica
Publisher
Springer Netherlands
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.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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.
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DOI of Published Version
http://dx.doi.org/10.1007/s11511-016-0134-4
