Hochschild cohomology and quantization of Poisson structures

Grabowski, Janusz. "Hochschild cohomology and quantization of Poisson structures." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1994. [87]-91. <http://eudml.org/doc/221056>.

@inProceedings{Grabowski1994,
abstract = {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 $P= X\wedge Y$ with $[X, Y]= uX+ vY$, for some $u,v\in C^\infty (N,\mathbb \{R\})$.},
author = {Grabowski, Janusz},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter School; Zdíkov (Czech Republic); Geometry; Physics},
location = {Palermo},
pages = {[87]-91},
publisher = {Circolo Matematico di Palermo},
title = {Hochschild cohomology and quantization of Poisson structures},
url = {http://eudml.org/doc/221056},
year = {1994},
}

TY - CLSWK
AU - Grabowski, Janusz
TI - Hochschild cohomology and quantization of Poisson structures
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1994
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [87]
EP - 91
AB - 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 $P= X\wedge Y$ with $[X, Y]= uX+ vY$, for some $u,v\in C^\infty (N,\mathbb {R})$.
KW - Proceedings; Winter School; Zdíkov (Czech Republic); Geometry; Physics
UR - http://eudml.org/doc/221056
ER -