Legendrian submanifolds with hamiltonian isotopic symplectizations

Abstract

In any contact manifold of dimension $2n-1\ge 11$, we construct examples of closed legendrian submanifolds which are not diffeomorphic but whose lagrangian cylinders in the symplectization are hamiltonian isotopic.

arXiv comment8 pages, added an example where the Legendrian submanifolds are smoothly isotopic but not Legendrian isotopic

References in corpus (2)

• Contact manifolds with symplectomorphic symplectizations
• Contact manifolds and Weinstein h-cobordisms