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Invariance Theory|Peter B. Gilkey

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

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Overview

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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Details

  • ISBN-13: 9780849378744
  • ISBN-10: 0849378745
  • Publisher: CRC Press
  • Publish Date: December 1994
  • Dimensions: 9.68 x 6.18 x 1.31 inches
  • Shipping Weight: 2.08 pounds
  • Page Count: 530

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