Contact manifolds and Weinstein \(h\)-cobordisms

DOI10.4310/JSG.2016.V14.N3.A1zbMATH Open1353.53079arXiv1410.2530MaRDI QIDQ344355

Sylvain Courte

Publication date: 22 November 2016

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Abstract: We prove that closed connected contact manifolds of dimension $geq5$ 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.

Full work available at URL: https://arxiv.org/abs/1410.2530

zbMATH Keywords

contact connect-summingcontactomorphicexact symplectomorphic symplectization

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Other types of cobordism (57R90)

Related Items (3)

Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold ⋮ \(\text{Spin}^c\) manifolds and complex contact structures ⋮ Boothby-Wang fibrations on complex contact manifolds

This page was built for publication: Contact manifolds and Weinstein \(h\)-cobordisms

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q344355)