Cohomology groups of homogeneous Poisson structures

Abstract

We generalize the notion of weight for Gelfan'd-Fuks cohomology theory of symplectic vector spaces to the homogeneous Poisson vector spaces, and try some combinatorial approach to Poisson cohomology groups.

82 pages

References in corpus (4)

• The Gelfand-Kalinin-Fuks class and characteristic classes of transversely symplectic foliations
• Higher weight Gel'fand-Kalinin-Fuks classes of formal Hamiltonian vector fields of symplectic R^2
• The relative Gel'fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on 6-dimensional plane
• An affirmative answer to a conjecture for Metoki class

Cited by in corpus (4)

• Euler number and Betti numbers of homology groups of pre Lie superalgebra
• First Betti number of weighted homology group of Hamiltonian vector fields on symplectic tori
• Superalgebra structure on differential forms of manifold
• The second Betti number of doubly weighted homology groups of some pre Lie superalgebra