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Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds

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Abstract

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.

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de Wilde, M., Lecomte, P.B.A. Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds. Lett Math Phys 7, 487–496 (1983). https://doi.org/10.1007/BF00402248

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  • DOI: https://doi.org/10.1007/BF00402248

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