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

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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

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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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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.