Contact structures on M \times S^2
Symplectic Geometry
2013-08-20 v3 Geometric Topology
Abstract
We show that if a manifold M admits a contact structure, then so does M\times S^2. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if M admits a contact structure then so does M\times T^2.
Keywords
Cite
@article{arxiv.1305.3121,
title = {Contact structures on M \times S^2},
author = {Jonathan Bowden and Diarmuid Crowley and András I. Stipsicz},
journal= {arXiv preprint arXiv:1305.3121},
year = {2013}
}
Comments
8 pages, minor changes