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Traces for star products on symplectic manifolds
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UNSPECIFIED (2002) Traces for star products on symplectic manifolds. JOURNAL OF GEOMETRY AND PHYSICS, 42 (1-2). pp. 12-18. ISSN 0393-0440.
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Abstract
We give a direct elementary proof of the existence of traces for arbitrary star products on a symplectic manifold. We follow the approach we used in [J. Geom. Phys. 29 (1999) 347], solving first the local problem. A normalisation introduced by Karabegov [Lett. Math. Phys. 45 (1998) 217] makes the local solutions unique and allows theta to be pieced together to solve the global problem. (C) 2002 Elsevier Science B.V. All rights reserved.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Journal or Publication Title: | JOURNAL OF GEOMETRY AND PHYSICS | ||||
| Publisher: | ELSEVIER SCIENCE BV | ||||
| ISSN: | 0393-0440 | ||||
| Official Date: | May 2002 | ||||
| Dates: |
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| Volume: | 42 | ||||
| Number: | 1-2 | ||||
| Number of Pages: | 7 | ||||
| Page Range: | pp. 12-18 | ||||
| Publication Status: | Published |
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