Singular Unitarity in " Quantization Commutes with Reduction "

@inproceedings{Li2007SingularUI,
  title={Singular Unitarity in " Quantization Commutes with Reduction "},
  author={Hui Li},
  year={2007}
}
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

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