The Weinstein Conjecture for Hamiltonian Fibrations
Symplectic Geometry
2016-01-20 v1 Differential Geometry
Abstract
In this note we extend to non trivial Hamiltonian fibrations over symplectically uniruled manifolds a result of Lu's, \cite{Lu}, stating that any trivial symplectic product of two closed symplectic manifolds with one of them being symplectically uniruled verifies the Weinstein Conjecture for closed separating hypersurfaces of contact type, under certain technical conditions. The proof is based on the product formula for Gromov-Witten invariants (-invariant) of Hamiltonian fibrations derived in \cite{H}.
Cite
@article{arxiv.1103.3480,
title = {The Weinstein Conjecture for Hamiltonian Fibrations},
author = {Clement Hyvrier},
journal= {arXiv preprint arXiv:1103.3480},
year = {2016}
}
Comments
15 pages