From local to global deformation quantization of Poisson manifolds

Details From local to global deformation quantization of Poisson manifolds From local to global deformation quantization of Poisson manifolds

2000-12-22

arxiv.org/abs/math/0012228v3

Duke Math. J. Volume 115, Number 2 (2002), 329-352

Mathematics

Quantum Algebra

16 pages. Reference and dedication added. Sign corrected, remark on Poisson vector fields added

Scientific paper

10.1215/S0012-7094-02-11524-5

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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