Jorgen Ellegaard Andersen (University of Southern Denmark)
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We will consider Geometric Quantization on general Kähler phase spaces and propose a program for compatible constructions of the quantization of functions, the Hilbert space structure, and the dependence on the choice of the Kähler structure (generalized Hitchin connection), fixing only the underlying symplectic manifold and a prequantum line bundle. We will in particular see explicitly how the curvature of the phase space modifies the quantization.
Geometric Quantization of General Kähler Manifolds
