Poisson cohomology of regular Poisson manifolds

Ping Xu

Annales de l'institut Fourier (1992)

  • Volume: 42, Issue: 4, page 967-988
  • ISSN: 0373-0956

Abstract

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The main purpose of this paper is to suggest a method of computing Poisson cohomology of a Poisson manifold by means of symplectic groupoids. The key idea is to convert the problem of computing Poisson cohomology to that of computing de Rham cohomology of certain manifolds. In particular, we shall derive an explicit formula for the Poisson cohomology of a regular Poisson manifold where the symplectic foliation is a trivial fibration.

How to cite

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Xu, Ping. "Poisson cohomology of regular Poisson manifolds." Annales de l'institut Fourier 42.4 (1992): 967-988. <http://eudml.org/doc/74981>.

@article{Xu1992,
abstract = {The main purpose of this paper is to suggest a method of computing Poisson cohomology of a Poisson manifold by means of symplectic groupoids. The key idea is to convert the problem of computing Poisson cohomology to that of computing de Rham cohomology of certain manifolds. In particular, we shall derive an explicit formula for the Poisson cohomology of a regular Poisson manifold where the symplectic foliation is a trivial fibration.},
author = {Xu, Ping},
journal = {Annales de l'institut Fourier},
keywords = {Poisson cohomology; symplectic groupoids; de Rham cohomology},
language = {eng},
number = {4},
pages = {967-988},
publisher = {Association des Annales de l'Institut Fourier},
title = {Poisson cohomology of regular Poisson manifolds},
url = {http://eudml.org/doc/74981},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Xu, Ping
TI - Poisson cohomology of regular Poisson manifolds
JO - Annales de l'institut Fourier
PY - 1992
PB - Association des Annales de l'Institut Fourier
VL - 42
IS - 4
SP - 967
EP - 988
AB - The main purpose of this paper is to suggest a method of computing Poisson cohomology of a Poisson manifold by means of symplectic groupoids. The key idea is to convert the problem of computing Poisson cohomology to that of computing de Rham cohomology of certain manifolds. In particular, we shall derive an explicit formula for the Poisson cohomology of a regular Poisson manifold where the symplectic foliation is a trivial fibration.
LA - eng
KW - Poisson cohomology; symplectic groupoids; de Rham cohomology
UR - http://eudml.org/doc/74981
ER -

References

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