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Index Theory 数学笔记

Duistermaat-Heckman Formula and Bott’s Original Idea

1. Duistermaat-Heckman Formula In this section, […]

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Index Theory 数学笔记

Bott Residue Formula

We make the same assumptions as in previous section. Le […]

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Index Theory 数学笔记

Bott and Duistermaat-Herckman Formulas

In Chapter One we have defined characteristic classes a […]

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Index Theory 数学笔记

Chern-weil Theory in Odd Dimension

In the previous section, we discussed the theory of eve […]

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Index Theory 数学笔记

Adiabatic Limit and the Bott Connection

Background Let $M$ be an even dimensional oriented clos […]