Let M be a connected compact quantizable Kähler manifold equipped with a Hamiltonian action of a connected compact Lie group G. Let M//G = φ −1 (0)/G = M 0 be the symplectic quotient at value 0 of the moment map φ. The space M 0 is in general a complex analytic stratified Kähler space (see [8] for this notion). When M 0 has only one stratum, it is a smooth Kähler manifold. In any case, it is known that, as vector spaces, there is a natural isomorphism between the quantum Hilbert space over M 0… CONTINUE READING