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arXiv · 1305.3121

Contact structures on M \times S^2

Jonathan Bowden·Diarmuid Crowley·András I. Stipsicz
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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.

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Jonathan Bowden, Diarmuid Crowley, András I. Stipsicz. 2013-05-14. Contact structures on M \times S^2. https://arxiv.org/abs/1305.3121

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