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) |
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.