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...

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Bibliographic Details
Main Authors: Eliashberg, Yakov, Borman, Matthew Strom, Murphy, Emmy Le
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Netherlands 2016
Online Access:http://hdl.handle.net/1721.1/104454
https://orcid.org/0000-0002-8787-6739

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