Geometric quantization in the framework of algebraic lagrangian geometry

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This paper is a short version of the author habilitation thesis. The main results have been already published but here a lot of details are clarified. As well we add some new results: we discuss some quasi classical limit of ALG(a) - quantization, mention some topological properties of the moduli space of Bohr - Sommerfeld Lagrangian cycles of fixed type and investigate some properties of the Kaehler structure on it.
78 pages without figures, preprint of MPI (Bonn)

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