From local to global deformation quantization of Poisson manifolds
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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.
16 pages. Reference and dedication added. Sign corrected, remark on Poisson vector fields added
16 pages. Reference and dedication added. Sign corrected, remark on Poisson vector fields added