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Tangential formal deformations of the Poisson bracket and tangential star products on a regular Poisson manifold

โœ Scribed by M. Masmoudi

Book ID
108006932
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
749 KB
Volume
9
Category
Article
ISSN
0393-0440

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Existence of star-products and of formal
Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
โœ Marc Wilde; Pierre B. A. Lecomte ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Springer ๐ŸŒ English โš– 401 KB

We prove the existence of star-products and of formal deformations of the Poisson Lie algebra of an arbitrary symplectic manifold. Moreover, all the obstructions encountered in the step-wise construction of formal deformations are vanishing.