# A spectral sequence associated with a symplectic manifold

@article{Vinogradov2006ASS, title={A spectral sequence associated with a symplectic manifold}, author={Alexandre M. Vinogradov and Cary di Pietro}, journal={Doklady Mathematics}, year={2006}, volume={75}, pages={287-289} }

With a symplectic manifold a spectral sequence converging to its de Rham cohomology is associated. A method of computation of its terms is presented together with some stabilization results. As an application a characterization of symplectic harmonic manifolds is given and a relationship with the C–spectral sequence is indicated. Let (M,Ω) be a 2n–dimensional symplectic manifold and Λ(M) be the algebra of differential forms onM . Consider the ideal ΛL(M) of Λ(M), composed of all differential…

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