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
Journal or Publication Title:	JOURNAL OF GEOMETRY AND PHYSICS
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0393-0440
Date:	May 2002
Volume:	42
Number:	1-2
Number of Pages:	7
Page Range:	pp. 12-18
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11063

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