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.
Funding Statement
M. S. B. was partially supported by NSF grant DMS-1304252, Y. E. was partially supported by NSF grant DMS-1205349, E. M. was partially supported by NSF grant DMS-1510305.
Dedication
To Misha Gromov with admiration.
Citation
Matthew Strom Borman. Yakov Eliashberg. Emmy Murphy. "Existence and classification of overtwisted contact structures in all dimensions." Acta Math. 215 (2) 281 - 361, 2015. https://doi.org/10.1007/s11511-016-0134-4
Information
