Suppose a group acts on a manifold and the action can be lifted to a principal bundle over it. We consider invariant connections and their gauge equivalence classes. When the base space is a single group orbit, the invariant connections were studied by H.C.Wang in the 1950s. We show that in general, the space of such connections decomposes according to elements in a group cohomology. We further study the geometry and analysis of the space of invariant connection.

7月7日
2pm - 3pm
地点
Room 4475 (Lifts 25/26)
讲者/表演者
Prof. Siye WU
National Tsing Hua University
主办单位
Department of Mathematics
联系方法
付款详情
对象
Alumni, Faculty and staff, PG students, UG students
语言
英语
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