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Bursztyn, H.; Dolgushev, V.; Waldmann, S.

Morita equivalence and characteristic classes of star products. (English) Zbl 1237.53080

J. Reine Angew. Math. 662, 95-163 (2012).
Authors’ abstract: “This paper deals with two aspects of the theory of characteristic classes of star products: firstly, on an arbitrary Poisson manifold, we describe Morita equivalent star products in terms of their Kontsevich classes; secondly, on symplectic manifolds, we describe the relationship between Kontsevich’s and Fedosov’s characteristic classes of star products.”
Reviewer: Benjamin Cahen (Metz)

Cited in 2 Reviews
Cited in 12 Documents

MSC:

53D55 Deformation quantization, star products

Keywords:

Poisson manifold; star product; Morita equivalence; Kontsevich’s characteristic classes; Fedosov’s characteristic classes
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\textit{H. Bursztyn} et al., J. Reine Angew. Math. 662, 95--163 (2012; Zbl 1237.53080)
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