Displaying similar documents to “On submanifolds and quotients of Poisson and Jacobi manifolds”

On the flux homomorphism for regular Poisson manifolds

Rybicki, Tomasz

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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”.