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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