Displaying similar documents to “Gauge equivalence of Dirac structures and symplectic groupoids”

On the flux homomorphism for regular Poisson manifolds

Rybicki, Tomasz

Similarity:

Author’s abstract: “We introduce the concept of the flux homomorphism for regular Poisson manifolds. First we establish a one-to-one correspondence between Poisson diffeomorphisms close to i d and closed foliated 1-forms close to 0. This allows to show that the group of Poisson automorphisms is locally contractible and to define the flux locally. Then, by means of the foliated cohomology, we extend this local homomorphism to a global one”.

Classifications of star products and deformations of Poisson brackets

Philippe Bonneau (2000)

Banach Center Publications

Similarity:

On the algebra of functions on a symplectic manifold we consider the pointwise product and the Poisson bracket; after a brief review of the classifications of the deformations of these structures, we give explicit formulas relating a star product to its classifying formal Poisson bivector.