First Betti number of weighted homology group of Hamiltonian vector fields on symplectic tori

Abstract

Like (co)homology group theory of formal Hamiltonian vector fields on symplectic vector spaces, we try studying homology group theory on symplecit tori introducing the notion of weight.

24 pages

References in corpus (3)

• 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
• Cohomology groups of homogeneous Poisson structures

Cited by in corpus (1)

• Euler number and Betti numbers of homology groups of pre Lie superalgebra