Journal of Symplectic Geometry

Volume 14 (2016)

Number 3

Contact manifolds and Weinstein h-cobordisms

Pages: 657 – 669

DOI: https://dx.doi.org/10.4310/JSG.2016.v14.n3.a1

Author

Sylvain Courte (École Normale Supérieure de Lyon, France)

Abstract

We prove that closed connected contact manifolds of dimension 2n15 related by a flexible Weinstein h-cobordism become contactomorphic after contact connect-summing with Sk×S2nk1 with 2kn1. We also provide examples of non-conjugate contact structures on a closed manifold with exact symplectomorphic symplectizations.

Published 12 September 2016