循环群的中心扩张与预量化的障碍
Central extensions of loop groups and obstruction to pre-quantization
摘要：
给出了黎曼曲面上平坦G-丛的模空间的预量子线丛的一个显式构造，其中G是任意非单连通紧单李群。这项工作有助于解释一个奇怪的巧合之前观察到的Toledano-Laredo的工作分类中心扩展的循环群LG和作者以前的工作的障碍预量化的模空间的平坦G-丛。
英文摘要：
An explicit construction of a pre-quantum line bundle for the moduli space of flat G-bundles over a Riemann surface is given, where G is any non-simply connected compact simple Lie group. This work helps to explain a curious coincidence previously observed between Toledano-Laredo's work classifying central extensions of loop groups LG and the author's previous work on the obstruction to pre-quantization of the moduli space of flat G-bundles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
