Title: Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem (Studies in Advanced Mathematics)
Publisher: CRC Press 1994-12-22
Publication Date: 1994
Language: English
ISBN 10: 0849378745
ISBN 13: 9780849378744
Binding: Hardcover
Edition: 2nd Edition
Condition: New

About this title

Synopsis

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.

About the Author

Gilkey, Peter B.

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