Logarithmic Poisson cohomology: example of calculation and application to prequantization

Joseph Dongho

Displaying similar documents to “Logarithmic Poisson cohomology: example of calculation and application to prequantization”

Hochschild cohomology and quantization of Poisson structures

Grabowski, Janusz

Similarity:

It is well-known that the question of existence of a star product on a Poisson manifold $N$ is open and only some partial results are known [see the author, J. Geom. Phys. 9, No. 1, 45-73 (1992; Zbl 0761.16012)].In the paper under review, the author proves the existence of the star products for the Poisson structures $P$ of the following type $P = X \land Y$ with $[X, Y] = u X + v Y$ , for some $u, v \in C^{\infty} (N, ℝ)$ .

Complementary 2-forms of Poisson structures

Izu Vaisman (1996)

Compositio Mathematica

Similarity:

Associative and Lie deformations of Poisson algebras

Elisabeth Remm (2012)

Communications in Mathematics

Similarity:

Considering a Poisson algebra as a nonassociative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this nonassociative algebra. We give a natural interpretation of deformations which preserve the underlying associative structure and of deformations which preserve the underlying Lie algebra and we compare the associated cohomologies with the Poisson cohomology parametrizing the general deformations of Poisson algebras.

A survey on Nambu-Poisson brackets.

Vaisman, I. (1999)

Acta Mathematica Universitatis Comenianae. New Series

Similarity: