双环面上等变向量丛的分类
Classification of equivariant vector bundles over two-torus
摘要：
在紧李群（不一定是有效的）作用下，对两环面上的拓扑等变复向量丛进行了详尽的分类。证明了不等变的陈类和至多6点的各向同性表示对于等变向量丛的分类是足够的，除了少数情况。为此，我们计算了等变离合映射集的同伦。而且，在实射影平面上的分类，克莱因瓶也即将出现
英文摘要：
We exhaustively classify topological equivariant complex vector bundles over two-torus under a compact Lie group (not necessarily effective) action. It is shown that inequivariant Chern classes and isotropy representations at (at most) six points are sufficient to classify equivariant vector bundles except a few cases. To do it, we calculate homotopy of the set of equivariant clutching maps. And, classification on real projective plane, Klein bottle will appear soon
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。
