Contents
Contents
1. Review of the Rham Cohomology Theory
2. Connections and Curvatures on Vector Bundles
3. Chern-Weil Theorem
4. Some Examples
5. K-groups and the Chern Character
6. The Chern-Simons Transgressed Form
7. Foliations and the Bott Vanishing Theorem
8. Adiabatic Limit and the Bott Connection
9. Chern-weil Theory in Odd Dimension
10. Bott and Duistermaat-Herckman Formulas
11. Bott Residue Formula
12. Duistermaat-Heckman Formula and Bott’s Original Idea
13. 关于指标理论的笔记现暂停发布
