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:
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arXiv Mathematics e-prints
- Pub Date:
- December 2000
- DOI:
- 10.48550/arXiv.math/0012228
- arXiv:
- arXiv:math/0012228
- Bibcode:
- 2000math.....12228C
- Keywords:
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- Mathematics - Quantum Algebra;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Differential Geometry
- E-Print:
- 16 pages. Reference and dedication added. Sign corrected, remark on Poisson vector fields added