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.
- ISBN13 9781351436434
- Publish Date 2 May 2018 (first published 22 December 1994)
- Publish Status Active
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint CRC Press
- Format eBook
- Pages 536
- Language English