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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
Journal or Publication Title: JOURNAL OF GEOMETRY AND PHYSICS
Publisher: ELSEVIER SCIENCE BV
ISSN: 0393-0440
Official Date: May 2002
Dates:
DateEvent
May 2002UNSPECIFIED
Volume: 42
Number: 1-2
Number of Pages: 7
Page Range: pp. 12-18
Publication Status: Published

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