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Publication Date:
January 2012
ISSN:
1435-5345
DOI:
10.1515/CRELLE.2011.089

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Levine, Marc

Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Hwang, Jun-Muk

12 Issues per year

Increased IMPACT FACTOR 2010: 1.200
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Rank 30 out of 277 in category Mathematics in the 2010 Thomson Reuters Journal Citation Report/Science Edition
Mathematical Citation Quotient 2010: 1.13

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Morita equivalence and characteristic classes of star products

1 / 2 / 3

1Instituto Nacional de Matematica Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, 22460-320, Brasil

2Department of Mathematics, University of California at Riverside, 900 Big Springs Drive, Riverside, CA 92521, USA

3Fakultt fr Mathematik und Physik, Physikalisches Institut, Hermann Herder Strasse 3, 79104 Freiburg, Germany

Citation Information: Journal fr die reine und angewandte Mathematik (Crelles Journal). Volume 2012, Issue 662, Pages 95–163, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2011.089, January 2012

Publication History:

Received: 02/10/2009;
Revised: 08/07/2010;
Published Online: 26/02/2012

Abstract

This paper deals with two aspects of the theory of characteristic classes of star products: first, on an arbitrary Poisson manifold, we describe Morita equivalent star products in terms of their Kontsevich classes; second, on symplectic manifolds, we describe the relationship between Kontsevich's and Fedosov's characteristic classes of star products.

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