Invariance Theory
| Author | : Peter B. Gilkey |
| Publisher | : CRC Press |
| Total Pages | : 534 |
| Release | : 1994-12-22 |
| ISBN-10 | : 0849378745 |
| ISBN-13 | : 9780849378744 |
| Rating | : 4/5 (744 Downloads) |
Book Synopsis Invariance Theory by : Peter B. Gilkey
Download or read book Invariance Theory written by Peter B. Gilkey and published by CRC Press. This book was released on 1994-12-22 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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