Heat Kernels and Dirac Operators
- ISBN-10
- 3540200622
- ISBN-13
- 9783540200628
- Category
- Mathematics
- Pages
- 363
- Language
- English
- Published
- 2003-12-08
- Publisher
- Springer Science & Business Media
- Authors
- Michele Vergne, Nicole Berline, Ezra Getzler
Description
In the first edition of this book, 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) were presented, 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 paperback.
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