Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem

ISBN: 9780849378744

出版社: CRC-Press

出版年: 1995-02-01

页数: 536

定价: USD 120.95

装帧: Hardcover

内容简介

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.