Legendrian submanifolds with hamiltonian isotopic symplectizations
Symplectic Geometry
2016-12-21 v2
Abstract
In any contact manifold of dimension , we construct examples of closed legendrian submanifolds which are not diffeomorphic but whose lagrangian cylinders in the symplectization are hamiltonian isotopic.
Keywords
Cite
@article{arxiv.1512.00606,
title = {Legendrian submanifolds with hamiltonian isotopic symplectizations},
author = {Sylvain Courte},
journal= {arXiv preprint arXiv:1512.00606},
year = {2016}
}
Comments
8 pages, added an example where the Legendrian submanifolds are smoothly isotopic but not Legendrian isotopic