Invariance Theory: The Heat Equation and the Atiyah-Singer...

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Invariance Theory: The Heat Equation...

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

Name: Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem
ISBN: 9781351436434

Gilkey, Peter B., Krantz, Steven George

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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.

Categorie:

Mathematics - Geometry and Topology

Anno:

2018

Edizione:

2nd ed

Casa editrice:

Chapman and Hall/CRC

Lingua:

english

Pagine:

531