Article
| Title: | Hochschild cohomology and quantization of Poisson structures (English) |
| Author: | Grabowski, Janusz |
| Language: | English |
| Journal: | Proceedings of the Winter School "Geometry and Physics" |
| Volume: | |
| Issue: | 1993 |
| Year: | |
| Pages: | [87]-91 |
| . | |
| Category: | math |
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| Summary: | It is well-known that the question of existence of a star product on a Poisson manifold $N$ is open and only some partial results are known [see the author, J. Geom. Phys. 9, No. 1, 45-73 (1992; Zbl 0761.16012)].\par In the paper under review, the author proves the existence of the star products for the Poisson structures $P$ of the following type $P= X\wedge Y$ with $[X, Y]= uX+ vY$, for some $u,v\in C^\infty(N,\bbfR)$. (English) |
| MSC: | 16E40 |
| MSC: | 16S80 |
| MSC: | 17B56 |
| MSC: | 17B65 |
| MSC: | 37J99 |
| MSC: | 53D50 |
| MSC: | 58F06 |
| idZBL: | Zbl 0836.58016 |
| idMR: | MR1344003 |
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| Date available: | 2009-07-13T21:33:02Z |
| Last updated: | 2012-09-18 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/701547 |
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| Files | Size | Format | View |
|---|---|---|---|
| WSGP_13-1993-1_10.pdf | 413.8Kb | application/pdf |
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