Abstract
We give an explicit construction of a deformation quantization of the algebra of functions on a Poisson manifold, based on M. Kontsevich's local formula. The deformed algebra of functions is realized as the algebra of horizontal sections of a vector bundle with flat connection.
Citation
Alberto S. Cattaneo. Giovanni Felder. Lorenzo Tomassini. "From local to global deformation quantization of Poisson manifolds." Duke Math. J. 115 (2) 329 - 352, 1 November 2002. https://doi.org/10.1215/S0012-7094-02-11524-5
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