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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

Foliations and the Bott Vanishing Theorem

Index Theory, 数学笔记

•

03/08/2012

Let $M$ be a closed manifold and $TM$ its tangent vecto…
Read more →：Foliations and the Bott Vanishing Theorem
The Chern-Simons Transgressed Form

Index Theory, 数学笔记

•

03/08/2012

In the end of the proof of theorem1.9, we have \[ tr \l…
Read more →：The Chern-Simons Transgressed Form
K-groups and the Chern Character

Index Theory, 数学笔记

•

03/08/2012

Let $E$ be a complex vector bundle over a compact smoot…
Read more →：K-groups and the Chern Character
Some Examples

Index Theory

•

02/28/2012

Now, we take $f$ to be some special function to obtain …
Read more →：Some Examples
Chern-Weil Theorem

Index Theory

•

02/28/2012

Recall that given a vector bundle on $M$ , there exists …
Read more →：Chern-Weil Theorem

Index Theory

Foliations and the Bott Vanishing Theorem

The Chern-Simons Transgressed Form

K-groups and the Chern Character

Some Examples

Chern-Weil Theorem