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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

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.

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