Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (Mathematics Lecture Series) by Peter B. Gilkey

Product 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.
Product Details
Amazon Sales Rank: #3355517 in Books
Published on: 1985-04
Number of items: 1
Binding: Hardcover
349 pages