Contact structures on \(M \times S^2\)
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- Bowden, J., Crowley, D. & Stipsicz, A.I. Math. Ann. (2014) 358: 351. doi:10.1007/s00208-013-0963-9
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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 \(M \times T^2\).