Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem (2) (Studies in Advanced Mathematics #16)
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- Synopsis
- 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.
- Copyright:
- 1994
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9781351436427
- Related ISBNs:
- 9780203749791, 9780849378744, 9780849378744
- Publisher:
- CRC Press
- Date of Addition:
- 06/27/20
- Copyrighted By:
- CRC Press
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Science, Technology, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.
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