The Chern-Simons Transgressed Form
In the end of the proof of theorem1.9, w …
分类： Index Theory
This note is based on the lectures which was given by Prof. Huitao Feng in College of Science and Technology of Chongqing during the first semester of 2012
K-groups and the Chern Character
Let $E$ be a complex vector bundle over …
Some Examples
Now, we take $f$ to be some special func …
Chern-Weil Theorem
Recall that given a vector bundle on $M$ …
Connections and Curvatures on Vector Bundles
Let $E\to M$ be a smooth complex vector …
Review of the Rham Cohomology Theory
Let $M$ be a smooth closed (i.e., compac …