Existence and classification of overtwisted contact structures in all dimensions
Symplectic Geometry
2014-10-14 v2 Geometric Topology
Abstract
We establish a parametric extension -principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the -dimensional result from \cite{Eli89}. It implies, in particular, that any closed manifold admits a contact structure in any given homotopy class of almost contact structures.
Keywords
Cite
@article{arxiv.1404.6157,
title = {Existence and classification of overtwisted contact structures in all dimensions},
author = {Matthew Strom Borman and Yakov Eliashberg and Emmy Murphy},
journal= {arXiv preprint arXiv:1404.6157},
year = {2014}
}
Comments
86 pages, 16 figures