Existence and classification of overtwisted contact structures in all dimensions
Open Access
- 1 January 2015
- journal article
- research article
- Published by International Press of Boston in Acta Mathematica
- Vol. 215 (2), 281-361
- https://doi.org/10.1007/s11511-016-0134-4
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 [12]. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost contact structures.Keywords
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