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eBook details

• Title: Invariance Theory
• Author : Peter B Gilkey
• Release Date : January 02, 2018
• Genre: Mathematics,Books,Science & Nature,Physics,
• Pages : * pages
• Size : 40766 KB

Description

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.

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