Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem PDF

ISBN: 9781351436434

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.

Edition :	2
Number of Pages :	531
Published :	12/22/1994
isbn :	9781351436434