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Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem…
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Amazon.com Product Description (ISBN 0849378745, Hardcover)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.
(retrieved from Amazon Thu, 12 Mar 2015 18:14:38 -0400)
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