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Title: On the flux homomorphism for regular Poisson manifolds (English)
Author: Rybicki, Tomasz
Language: English
Journal: Proceedings of the 17th Winter School "Geometry and Physics"
Issue: 1997
Pages: [91]-99
Category: math
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''. (English)
MSC: 53D12
MSC: 53D17
idZBL: Zbl 0957.53043
idMR: MR1662730
Date available: 2009-07-13T21:40:00Z
Last updated: 2012-09-18
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