分类
Index Theory 数学笔记

Adiabatic Limit and the Bott Connection

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

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
数学笔记

The Existence of Support Hyperplane

命题 1. Let $K$ be a compact convex set in $\mathbb{R}^n$ […]