# 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},
year={2006},
volume={75},
pages={287-289}
}
• Published 6 November 2006
• Mathematics
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…
2 Citations
• Mathematics
• 2015
In this note we introduce primitive cohomology groups of locally conformal symplectic manifolds (M2n, ω, θ). We study the relation between the primitive cohomology groups and the Lichnerowicz-Novikov
• Mathematics
• 2011
In this note we introduce primitive cohomology groups of locally conformal symplectic manifolds $(M^{2n}, \omega, \theta)$. We study the relation between the primitive cohomology groups and the

## References

SHOWING 1-6 OF 6 REFERENCES

Introduction Symplectic manifolds and lagrangian submanifolds, examples Lagrangian splittings, real and complex polarizations, Kahler manifolds Reduction, the calculus of canonical relations,
Part I. Algebra: 1. An informal introduction 2. What is a spectral sequence? 3. Tools and examples Part II. Topology: 4. Topological background 5. The Leray-Serre spectral sequence I 6. The
CONTENTSIntroduction § 1. The exterior algebra on a symplectic space § 2. Differential forms on J1M § 3. Non-linear differential operators § 4. The use of contact geometry in the calculus of
Construction du complexe canonique d'une variete de Poisson. Homologie canonique des varietes symplectiques. Application a l'homologie de Hochschild des algebres non commutatives

### Krasil’shchik Symmetries and Conservation Laws for Differential Equations of Mathematical Physics

• Translations of Mathematical Monographs,
• 1999