分类
Index Theory 数学笔记

Foliations and the Bott Vanishing Theorem

Let $M$ be a closed manifold and $TM$ its tangent vecto […]

分类
Index Theory 数学笔记

The Chern-Simons Transgressed Form

In the end of the proof of theorem1.9, we have \[ tr \l […]

分类
Index Theory 数学笔记

K-groups and the Chern Character

Let $E$ be a complex vector bundle over a compact smoot […]

分类
Index Theory

Some Examples

Now, we take $f$ to be some special function to obtain […]

分类
Index Theory

Chern-Weil Theorem

Recall that given a vector bundle on $M$, there exists […]