Home » Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem by Peter B. Gilkey
Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem Peter B. Gilkey

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

Peter B. Gilkey

Published April 1st 1985
ISBN : 9780914098201
Hardcover
349 pages
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 About the Book 

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 aMoreThis 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.