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 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”.
@article{701619,
title = {On the flux homomorphism for regular Poisson manifolds},
booktitle = {Proceedings of the 17th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1998},
pages = {[91]-99},
mrnumber = {MR1662730},
zbl = {0957.53043},
url = {http://dml.mathdoc.fr/item/701619}
}
Rybicki, Tomasz. On the flux homomorphism for regular Poisson manifolds, dans Proceedings of the 17th Winter School "Geometry and Physics", GDML_Books, (1998), pp. [91]-99. http://gdmltest.u-ga.fr/item/701619/