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(By Peter B. Gilkey)



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Language: English

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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. --This text refers to an alternate edition.



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Invariance theory, heat equation, and the index theorem ebook
Invariance theory, heat equation, and the index theorem ebook pdf
Invariance theory, heat equation, and the index theorem ebook djvu
Invariance theory, heat equation, and the index theorem ebook chm
Peter B. Gilkey ebooks