Contact structures on M × S2 {Mathematical expression}

Bowden, Jonathan and Crowley, Diarmuid and Stipsicz, András (2013) Contact structures on M × S2 {Mathematical expression}. MATHEMATISCHE ANNALEN, &. pp. 1-9. ISSN 0025-5831

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Abstract

We show that if a manifold {Mathematical expression} admits a contact structure, then so does {Mathematical expression}. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if {Mathematical expression} admits a contact structure then so does {Mathematical expression}. © 2013 Springer-Verlag Berlin Heidelberg.

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