Contact manifolds and Weinstein h-cobordisms
classification
🧮 math.SG
keywords
contactclosedmanifoldsweinsteinbecomeconnectedcontactomorphicdimension
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We prove that closed connected contact manifolds of dimension $\geq 5$ related by an h-cobordism with a flexible Weinstein structure become contactomorphic after some kind of stabilization. We also provide examples of non-conjugate contact structures on a closed manifold with exact symplectomorphic symplectizations.
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