A 2-cocycle on a group of symplectomorphisms

Abstract

For a symplectic manifold $(M,\om)$ with exact symplectic form we construct a 2-cocycle on the group of symplectomorphisms and indicate cases when this cocycle is not trivial.

9 pages, Latex, shortened version, new coauthor, title changed

Cited by in corpus (2)

• Induced differential forms on manifolds of functions
• Lie Algebra of Hamiltonian Vector Fields and the Poisson-Vlasov Equations