Heat Kernels and Dirac Operators (Grundlehren Text Editions)
Language: English
Published by SPRINGER VERLAG, 2004
- Softcover
- Used

Seller: Books From California, Simi Valley, CA, U.S.A.Books From California
AbeBooks seller since August 14, 2001
Condition: Used - Very good
£ 39.27
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- Title
- Heat Kernels and Dirac Operators (Grundlehren Text Editions)
- Author
- Berline, Nicole
- Publisher
- SPRINGER VERLAG
- Publication year
- 2004
- Condition
- Very Good
- Binding
- paperback
- Language
- English
- ISBN 10
- 3540200622
- ISBN 13
- 9783540200628
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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. 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. This book will be of interest to graduate students and researchers in differential geometry, Arakelov geometry, group representation theory and mathematical physics.
"About the title" may belong to another edition of this title.
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