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

by Peter B. Gilkey

Book Details

Format Hardback or Cased Book

Book Series Studies in Advanced Mathematics

ISBN-10 0849378745

ISBN-13 9780849378744

Publisher Taylor & Francis Inc

Imprint CRC Press Inc

Country of Manufacture GB

Country of Publication GB

Publication Date Dec 22nd, 1994

Print length 530 Pages

Weight 910 grams

Dimensions 16.40 x 24.10 x 3.50 cms

Product Classification: Maths for scientists Physics

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This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex

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.

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