Semiclassical Geometry of Quantum Line Bundles and Morita Equivalence of Star Products
نویسنده
چکیده
In this paper we show how deformation quantization of line bundles over a Poisson manifold M produces a canonical action Φ of the Picard group Pic(M) ∼= H(M,Z) on the moduli space of equivalence classes of differential star products on M , Defdiff(M). The orbits of Φ characterize Morita equivalent star products on M . We describe the semiclassical limit of Φ in terms of the characteristic classes of star products by studying the semiclassical geometry of deformed line bundles.
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