Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem
- ISBN-10
- 0849378745
- ISBN-13
- 9780849378744
- Category
- Mathematics
- Pages
- 534
- Language
- English
- Published
- 1994-12-22
- Publisher
- CRC Press
- Author
- Peter B. Gilkey
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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Other editions
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- 2018-05-02
- 536 pages
- Paperback
- CRC Press
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- 2018-05-02
- 536 pages
- Ebook
- CRC Press
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