Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (Mathematics Lecture Series) - Peter B. Gilkey, Peter B Gilkey (1985)
ISBN 0914098209
Publisher Publish or Perish
Publication Date April 1985
Format 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.
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Collection Status In Collection
Index 1478
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Product Details
LoC Classification QA614.92.G55 1995
Cover Price $40.00
No. of Pages 349
Original Publication Year 1974