Poisson cohomology of regular Poisson manifolds

Ping Xu

Displaying similar documents to “Poisson cohomology of regular Poisson manifolds”

Remarks on the Lichnerowicz-Poisson cohomology

Izu Vaisman (1990)

Annales de l'institut Fourier

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The paper begins with some general remarks which include the Mayer-Vietoris exact sequence, a covariant version of the Lichnerowicz-Poisson cohomology, and the definition of an associated Serre-Hochshild spectral sequence. Then we consider the regular case, and we discuss the Poisson cohomology by using a natural bigrading of the Lichnerowicz cochain complex. Furthermore, if the symplectic foliation of the Poisson manifold is either transversally Riemannian or transversally symplectic,...

Some remarks on the cohomology of the Poisson algebra

Lecomte, P. B. A.

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On the flux homomorphism for regular Poisson manifolds

Rybicki, Tomasz

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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”.

Poisson cohomology and canonical homology of Poisson manifolds

Marisa Fernández, Raúl Ibáñez, Manuel de León (1996)

Archivum Mathematicum

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In this paper we present recent results concerning the Lichnerowicz-Poisson cohomology and the canonical homology of Poisson manifolds.