Invariance Theory : The Heat Equation and the Atiyah-Singer Index Theorem Hardback
by Peter B. (University of Oregon, Eugene, USA) Gilkey
Part of the Studies in Advanced Mathematics series
Hardback
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.
Information
-
Out of stock
- Format:Hardback
- Pages:530 pages
- Publisher:Taylor & Francis Inc
- Publication Date:22/12/1994
- Category:
- ISBN:9780849378744
Information
-
Out of stock
- Format:Hardback
- Pages:530 pages
- Publisher:Taylor & Francis Inc
- Publication Date:22/12/1994
- Category:
- ISBN:9780849378744
