循环动作、中心扩展和字符串结构
Circle actions, central extensions and string structures
摘要：
Caloron对应可以理解为圆丛上的$G$ -丛和$LG \rtimes_ρS^1$ -丛之间范畴的等价，其中$LG$是$G$中的光滑环群。我们使用它，和提升束gerbes，推导出一个显式的微分形式为基础的公式（真正的）字符串类的$LG \rtimes_ρS^1$束。
英文摘要：
The caloron correspondence can be understood as an equivalence of categories between $G$-bundles over circle bundles and $LG \rtimes_ρS^1$-bundles where $LG$ is the group of smooth loops in $G$. We use it, and lifting bundle gerbes, to derive an explicit differential form based formula for the (real) string class of an $LG \rtimes_ρS^1$-bundle.
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。
