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Harmonic cohomology of symplectic fiber bundles

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.

preprint2010arXivOpen access
Oliver EbnerStefan Haller
math.SG
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Oliver EbnerStefan Haller

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