Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem pdf epub mobi txt 电子书下载 2024

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Peter B. Gilkey

CRC-Press

1995-02-01

536

USD 120.95

Hardcover

9780849378744

图书标签: 数学微分几何指标定理 Math 热方程几何 this 微分几何7

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发表于2024-12-25

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem pdf epub mobi txt 电子书下载 2024

图书描述

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem 下载 mobi epub pdf txt 电子书