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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
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