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- W2951223890 abstract "I prove the existence of slices for an action of a reductive complex Lie group on a Kahler manifold at certain orbits, namely those orbits that intersect the zero level set of a momentum map for the action of a compact real form of the group. I give applications of this result to symplectic reduction and geometric quantization at singular levels of the momentum map. In particular, I obtain a formula for the multiplicities of the irreducible representations occurring in the quantization in terms of symplectic invariants of reduced spaces, generalizing a result of Guillemin and Sternberg." @default.
- W2951223890 created "2019-06-27" @default.
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- W2951223890 date "1993-04-12" @default.
- W2951223890 modified "2023-09-27" @default.
- W2951223890 title "Holomorphic Slices, Symplectic Reduction and Multiplicities of Representations" @default.
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