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Equivariant prequantization and the moment map (2009.08713v1)
Published 18 Sep 2020 in math.DG, math-ph, and math.MP
Abstract: If {\omega} is a closed G-invariant 2-form and {\mu} a moment map, then we obtain necessary and sufficient conditions for equivariant pre-quantizability that can be computed in terms of the moment map {\mu}. We also compute the obstructions to lift the action of G to a pre-quantization bundle of {\omega}. Our results are valid for any compact and connected Lie group G.
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