量子规范理论的Descent 方程中的高结构对称性

In the 80's of lat centure one of the Beijing research group headed by Prof. KC Zhou and HY Guo studed the geometrical and topological origin of quantum anomaly at gauge theory. They got the generalized Chern-Simons characteristic classes and the descent equations sutisfied by those classes. Recently Alekseev et al restuded the descent equations and all it's formulas. We have got solutions of all the descent equations. We will continiusly study this programme, try to understand more about their symmetries and properties.

上世纪八十年代以周光召，郭汉英为首的北京小组，就量子规范场论中的反常的几何拓扑起源开展研究，得到了广义的Chern-Simons示性类，和它们所满足的等式，称为Descent方程。 近来Alekseev等对Descent方程进行了再研究，讨论了Descent方程的全部形式，特别研究它的低阶方程。 我们更进一步对Descent方程讨论了所有各阶方程的解。本项目要继续该研究方向，进一步研究解内部的隐藏对称性及相关性质。

用范畴化和高结构的思想和工具，研究BF引力及BF-CS引力。