Hochschild cohomology and quantization of Poisson structures

Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1994), p. [87]-91 / Harvested from

Résumé

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 $u, v \in C^{\infty} (N, ℝ)$ .

MR MR1344003 | Zbl 0836.58016

EUDML-ID : urn:eudml:doc:221056
Mots clés:

@article{701547,
     title = {Hochschild cohomology and quantization of Poisson structures},
     booktitle = {Proceedings of the Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1994},
     pages = {[87]-91},
     mrnumber = {MR1344003},
     zbl = {0836.58016},
     url = {http://dml.mathdoc.fr/item/701547}
}

Grabowski, Janusz. Hochschild cohomology and quantization of Poisson structures, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books,  (1994), pp. [87]-91. http://gdmltest.u-ga.fr/item/701547/