Harmonic cohomology of symplectic fiber bundles
arXiv:1004.2218 · doi:10.1090/S0002-9939-2010-10707-4
Abstract
We show that every de Rham cohomology class on the total space of a symplectic fiber bundle with closed Lefschetz fibers, admits a Poisson harmonic representative in the sense of Brylinski. The proof is based on a new characterization of closed Lefschetz manifolds.