The Weinstein Conjecture for Hamiltonian Fibrations

Details The Weinstein Conjecture for Hamiltonian Fibrations The Weinstein Conjecture for Hamiltonian Fibrations

2011-03-17

arxiv.org/abs/1103.3480v1

Mathematics

Symplectic Geometry

15 pages

Scientific paper

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 ($GW$-invariant) of Hamiltonian fibrations derived in \cite{H}.

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