Cattaneo, A S; Felder, G; Tomassini, L (2002). From local to global deformation quantization of Poisson manifolds. Duke Mathematical Journal, 115(2):329-352.
We give an explicit construction of a deformation quantization of the algebra of functions on a Poisson manifold, based on M. Kontsevich's local formula. The deformed algebra of functions is realized as the algebra of horizontal sections of a vector bundle with flat connection.
We give an explicit construction of a deformation quantization of the algebra of functions on a Poisson manifold, based on M. Kontsevich's local formula. The deformed algebra of functions is realized as the algebra of horizontal sections of a vector bundle with flat connection.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2002 |
| Deposited On: | 27 Jan 2010 12:30 |
| Last Modified: | 29 Jul 2020 19:43 |
| Publisher: | Duke University Press |
| ISSN: | 0012-7094 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1215/S0012-7094-02-11524-5 |
Cattaneo, A S