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Article

Rybicki, Tomasz
On the flux homomorphism for regular Poisson manifolds. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 17th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1998. pp. [91]-99
MSC: 53D12, 53D17 | MR 1662730 | Zbl 0957.53043
Summary:
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 $id$ 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''.
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