Grundlehren Text Editions

Heat Kernels and Dirac Operators

Authors: Berline, Nicole, Getzler, Ezra, Vergne, Michèle

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Softcover $74.95
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  • ISBN 978-3-540-20062-8
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About this Textbook

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.

Buy this book

Softcover $74.95
price for USA
  • ISBN 978-3-540-20062-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Heat Kernels and Dirac Operators
Authors
Series Title
Grundlehren Text Editions
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Softcover ISBN
978-3-540-20062-8
Edition Number
1
Number of Pages
IX, 363
Additional Information
Originally published as Volume 298 in the series: "Grundlehren der mathematischen Wissenschaften", 1992
Topics