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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

Duistermaat-Heckman Formula and Bott’s Original Idea

Index Theory, 数学笔记

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05/07/2012

1. Duistermaat-Heckman Formula In this section, …
Read more →：Duistermaat-Heckman Formula and Bott’s Original Idea
Bott Residue Formula

Index Theory, 数学笔记

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05/07/2012

We make the same assumptions as in previous section. Le…
Read more →：Bott Residue Formula
Bott and Duistermaat-Herckman Formulas

Index Theory, 数学笔记

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04/22/2012

In Chapter One we have defined characteristic classes a…
Read more →：Bott and Duistermaat-Herckman Formulas
Chern-weil Theory in Odd Dimension

Index Theory, 数学笔记

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03/17/2012

In the previous section, we discussed the theory of eve…
Read more →：Chern-weil Theory in Odd Dimension
Adiabatic Limit and the Bott Connection

Index Theory, 数学笔记

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03/08/2012

Background Let $M$ be an even dimensional oriented clos…
Read more →：Adiabatic Limit and the Bott Connection

Index Theory

Duistermaat-Heckman Formula and Bott’s Original Idea

Bott Residue Formula

Bott and Duistermaat-Herckman Formulas

Chern-weil Theory in Odd Dimension

Adiabatic Limit and the Bott Connection