Equivariant prequantization and the moment map
Differential Geometry
2020-09-21 v1 Mathematical Physics
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.
Keywords
Cite
@article{arxiv.2009.08713,
title = {Equivariant prequantization and the moment map},
author = {Roberto Ferreiro Pérez},
journal= {arXiv preprint arXiv:2009.08713},
year = {2020}
}