Deformation quantization
Alan Weinstein (1993-1994)
Séminaire Bourbaki
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Displaying similar documents to “Star-products on symplectic manifolds”
Deformation quantization
Classifications of star products and deformations of Poisson brackets
Philippe Bonneau (2000)
Banach Center Publications
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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.
Covariant star-products
Mohsen Masmoudi (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Existence of star-products on exact symplectic manifolds
Marc De Wilde, P. B. A. Lecomte (1985)
Annales de l'institut Fourier
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It is shown that if a manifold admits an exact symplectic form, then its Poisson Lie algebra has non trivial formal deformations and the manifold admits star-products. The non-formal derivations of the star-products and the deformations of the Poisson Lie algebra of an arbitrary symplectic manifold are studied.