论文标题
模棱两可的临时和力矩图
Equivariant prequantization and the moment map
论文作者
论文摘要
如果ω是封闭的G不变的2形和μ矩图，则我们获得了必要和足够的条件，以实现持久的预量化性，该条件可以根据矩MAPμ进行计算。我们还计算了将g的作用提升为ω前束的障碍物。我们的结果对于任何紧凑型和连接的谎言组G。
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.
