Index Theory


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