**DIPS 6/2006**[tex source, PostScript, PDF file, dvi]-
**Title:**A Spectral Sequence Associated with a Symplectic Manifold.**Authors:**A. M. Vinogradov and C. Di PietroWith 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.

To appear in Doklady Akademii Nauk (Doklady Mathematics). See also arXiv: math.SG/0611138.

6 pages, LaTeX-2e.

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