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K-groups and the Chern Character

Index Theory, 数学笔记

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03/08/2012

Let $E$ be a complex vector bundle over a compact smoot…
Read more →：K-groups and the Chern Character
Notes for Lie algebra and Lie group

数学笔记

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03/03/2012

Notes for Lie algebra and Lie group 0.1. basic f…
Read more →：Notes for Lie algebra and Lie group
Some Examples

Index Theory

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02/28/2012

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

Index Theory

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02/28/2012

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

Index Theory

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02/27/2012

Let $E\to M$ be a smooth complex vector bundle over a s…
Read more →：Connections and Curvatures on Vector Bundles
Review of the Rham Cohomology Theory

Index Theory

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02/26/2012

Let $M$ be a smooth closed (i.e., compact and without b…
Read more →：Review of the Rham Cohomology Theory

K-groups and the Chern Character

Notes for Lie algebra and Lie group

Some Examples

Chern-Weil Theorem

Connections and Curvatures on Vector Bundles

Review of the Rham Cohomology Theory