Morita equivalence of Fedosov star products and deformed Hermitian vector bundles

Details Morita equivalence of Fedosov star products and deformed Hermitian vector bundles Morita equivalence of Fedosov star products and deformed Hermitian vector bundles

2002-01-19

arxiv.org/abs/math/0201181v1

Mathematics

Quantum Algebra

12 pages, LaTeX2e, no figures

Scientific paper

Based on the usual Fedosov construction of star products for a symplectic manifold M we give a simple geometric construction of a bimodule deformation for the sections of a vector bundle over M starting with a symplectic connection on M and a connection for E. In the case of a line bundle this gives a Morita equivalence bimodule where the relation between the characteristic classes of the Morita equivalent star products can be found very easily in this framework. Moreover, we also discuss the case of a Hermitian vector bundle and give a Fedosov construction of the deformation of the Hermitian fiber metric.

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