Equivariant prequantization and the moment map

2020/09/18 by Pérez, Roberto Ferreiro
#53D50 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2009.08713

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.

Related

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