Contact structures on M times S²
classification
🧮 math.SG
math.GT
keywords
contacttimesadmitsstructuresurgerythentheorembourgeois
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read the original 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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