From local to global deformation quantization of Poisson manifolds
Quantum Algebra
2008-01-29 v3 High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.math/0012228,
title = {From local to global deformation quantization of Poisson manifolds},
author = {Alberto S. Cattaneo and Giovanni Felder and Lorenzo Tomassini},
journal= {arXiv preprint arXiv:math/0012228},
year = {2008}
}
Comments
16 pages. Reference and dedication added. Sign corrected, remark on Poisson vector fields added