Bonneau, Philippe Classifications of star products and deformations of Poisson brackets. (English) Zbl 0981.53089 Grabowski, Janusz (ed.) et al., Poisson geometry. Stanisław Zakrzewski in memoriam. Warszawa: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 51, 25-29 (2000). Summary: On the algebra of functions on a symplectic manifold we consider the pointwise product and the Poisson bracket; after a brief review of the classifications of the deformations of these structures, we give explicit formulas relating a star product to its classifying formal Poisson bivector.For the entire collection see [Zbl 0936.00035]. MSC: 53D55 Deformation quantization, star products 81S10 Geometry and quantization, symplectic methods Keywords:algebra of functions; symplectic manifold; Poisson bracket; deformations; star product; classifying formal Poisson bivector PDFBibTeX XMLCite \textit{P. Bonneau}, Banach Cent. Publ. 51, 25--29 (2000; Zbl 0981.53089) Full Text: EuDML Link