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Contact structures on M \times S^2 |
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| Authors: | Jonathan Bowden Diarmuid Crowley András I Stipsicz |
| Institution: | 1. Mathematisches Institut, Universit?t Augsburg, Universit?tstr 14, 86159?, Augsburg, Germany 2. Max Planck Institut für Mathematik, Vivatsgasse 7, 53111?, Bonn, Germany 3. Rényi Institute of Mathematics, Reáltanoda u. 13-15., Budapest, 1053, Hungary |
| 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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