From local to global deformation quantization of Poisson manifolds
Cattaneo, Alberto S. ; Felder, Giovanni ; Tomassini, Lorenzo
arXiv, 0012228 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-12-22
Classification:  Mathematics - Quantum Algebra,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Differential Geometry 
@article{0012228,
     author = {Cattaneo, Alberto S. and Felder, Giovanni and Tomassini, Lorenzo},
     title = {From local to global deformation quantization of Poisson manifolds},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0012228}
}

Cattaneo, Alberto S.; Felder, Giovanni; Tomassini, Lorenzo. From local to global deformation quantization of Poisson manifolds. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012228/