A01=Peter B. Gilkey
advanced global analysis textbook
Author_Peter B. Gilkey
Category=PDE
Category=PH
differential topology
Dirac operators
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Fredholm theory
K-theory applications
Riemannian manifolds
Sobolev spaces
Product details
- ISBN 9780849378744
- Weight: 1110g
- Dimensions: 156 x 234mm
- Publication Date: 22 Dec 1994
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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. 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.
