Authors: A. M. Vinogradov and C. Di Pietro

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.

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

6 pages, LaTeX-2e.

To compile source files (.tex) one needs the title page style files titlatex.tex.