Harmonic cohomology of symplectic fiber bundles

Details Harmonic cohomology of symplectic fiber bundles Harmonic cohomology of symplectic fiber bundles

2010-04-13

arxiv.org/abs/1004.2218v1

Proc. Amer. Math. Soc. 139 (2011), 2927-2931

Mathematics

Symplectic Geometry

Scientific paper

10.1090/S0002-9939-2010-10707-4

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.

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