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From local to global deformation quantization of Poisson manifolds

By Alberto S. Cattaneo, Giovanni Felder and Lorenzo Tomassini


Dedicated to James Stasheff on the occasion of his 65th birthday ABSTRACT. We give an explicit construction of a deformation quantization of the algebra of functions on a Poisson manifolds, based on Kontsevich’s local formula. The deformed algebra of functions is realized as the algebra of horizontal sections of a vector bundle with flat connection. 1

Year: 2012
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