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Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem 2025 pdf epub mobi 电子书

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发表于2025-02-01

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem 2025 pdf epub mobi 电子书

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem 2025 pdf epub mobi 电子书

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem 2025 pdf epub mobi 电子书

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出版者:CRC-Press

作者:Peter B. Gilkey

出品人:

页数:536

译者:

出版时间:1995-02-01

价格:USD 120.95

装帧:Hardcover

isbn号码:9780849378744

丛书系列:

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

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem 2025 pdf epub mobi 电子书图书描述

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 2025 pdf epub mobi 电子书

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem 2025 pdf epub mobi 电子书

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这本书才是一本真正学术化的指标定理。外尔的渐进公式。分析指标：霍奇定理-热方程-椭圆算子的指标-Lefschetz数-theta函数关系

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