Existence and classification of overtwisted contact structures in all dimensions
Author(s)
Eliashberg, Yakov; Borman, Matthew Strom; Murphy, Emmy Le
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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.
Date issued
2016-02Department
Massachusetts Institute of Technology. Department of MathematicsJournal
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
ISSN
0001-5962
1871-2509