Equivariant prequantization and the moment map
Abstract
If ω is a closed G-invariant 2-form and μ a moment map, then we obtain necessary and sufficient conditions for equivariant pre-quantizability that can be computed in terms of the moment map μ. We also compute the obstructions to lift the action of G to a pre-quantization bundle of ω. Our results are valid for any compact and connected Lie group G.
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