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arXiv · 2009.08713

Equivariant prequantization and the moment map

Roberto Ferreiro Pérez
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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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Roberto Ferreiro Pérez. 2020-09-18. Equivariant prequantization and the moment map. https://arxiv.org/abs/2009.08713

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