Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem (Studies in Advanced Mathematics)

By Peter B. Gilkey

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.

• Format: Hardcover
• Language: English
• ISBN: 0849378745
• ISBN13: 9780849378744
• Release Date: February 1995
• Publisher: CRC Press
• Length: 530 Pages
• Weight: 2.45 lbs.
• Dimensions: 1.3" x 6.1" x 9.2"