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About Heat Kernels and Dirac Operators (Grundlehren Der Mathematischen Wissenschaften)
The first edition of this book presented simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut), using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive softcover. The first four chapters could be used as the text for a graduate course on the applications of linear elliptic operators in differential geometry and the only prerequisites are a familiarity with basic differential geometry. The next four chapters discuss the equivariant index theorem, and include a useful introduction to equivariant differential forms. The last two chapters give a proof, in the spirit of the book, of Bismut's Local Family Index Theorem for Dirac operators.
Detailed Information
| Author: | N. Berline E. Getzler M. Vergne |
|---|---|
| Publication Year: | 2003 |
| ISBN: | 9783540533405 |
| Pages: | 374 |
| Language: | English |
| File Size: | 7.511 |
| Format: | |
| Price: | FREE |
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