From local to global deformation quantization of Poisson manifolds
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2000
 arXiv:
 arXiv:math/0012228
 Bibcode:
 2000math.....12228C
 Keywords:

 Mathematics  Quantum Algebra;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Differential Geometry
 EPrint:
 16 pages. Reference and dedication added. Sign corrected, remark on Poisson vector fields added