Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem
by Peter B. Gilkey
Publisher: Publish or Perish Inc. 1984
Number of pages: 536
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.
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