Star-products on symplectic manifolds
de Wilde, M.
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Displaying similar documents to “Existence of star-products on exact symplectic manifolds”
Star-products on symplectic manifolds
Covariant star-products
Mohsen Masmoudi (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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.
An homotopy formula for the Hochschild cohomology
M. De Wilde, P. B. A. Lecomte (1995)
Compositio Mathematica
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Deformation quantization
Alan Weinstein (1993-1994)
Séminaire Bourbaki
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Cohomology ring of n-Lie algebras.
Mikolaj Rotkiewicz (2005)
Extracta Mathematicae
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Natural graded Lie brackets on the space of cochains of n-Leibniz and n-Lie algebras are introduced. It turns out that these brackets agree under the natural embedding introduced by Gautheron. Moreover, n-Leibniz and n-Lie algebras turn to be canonical structures for these brackets in a similar way in which associative algebras (respectively, Lie algebras) are canonical structures for the Gerstenhaber bracket (respectively, Nijenhuis-Richardson bracket).