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From local to global deformation quantization of Poisson manifolds

Alberto S. Cattaneo·Giovanni Felder·Lorenzo Tomassini
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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.

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Alberto S. Cattaneo, Giovanni Felder, Lorenzo Tomassini. 2001-03-06. From local to global deformation quantization of Poisson manifolds. https://doi.org/10.1215/s0012-7094-02-11524-5

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