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

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

by Peter B. Gilkey

**Publisher**: Publish or Perish Inc. 1984**ISBN/ASIN**: 0849378745**Number of pages**: 536

**Description**:

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.