On the flux homomorphism for regular Poisson manifolds

Rybicki, Tomasz

  • Proceedings of the 17th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [91]-99

Abstract

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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”.

How to cite

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Rybicki, Tomasz. "On the flux homomorphism for regular Poisson manifolds." Proceedings of the 17th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1998. [91]-99. <http://eudml.org/doc/221026>.

@inProceedings{Rybicki1998,
abstract = {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”.},
author = {Rybicki, Tomasz},
booktitle = {Proceedings of the 17th Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {[91]-99},
publisher = {Circolo Matematico di Palermo},
title = {On the flux homomorphism for regular Poisson manifolds},
url = {http://eudml.org/doc/221026},
year = {1998},
}

TY - CLSWK
AU - Rybicki, Tomasz
TI - On the flux homomorphism for regular Poisson manifolds
T2 - Proceedings of the 17th Winter School "Geometry and Physics"
PY - 1998
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [91]
EP - 99
AB - 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”.
KW - Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/221026
ER -

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