Morita equivalence and characteristic classes of star products

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

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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