Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Grundlehren Text Editions (TEXTEDITIONS)
Buy print copy
Tax calculation will be finalised at checkout
Keywords
- 53C05
- 58A10
- 58G10
- 58G11
- Atiyah-Singer Index Theorem
- Dirac Operators
- Heat Kernel Differential Geometry
- Superconnections
- YellowSale2006
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Heat Kernels and Dirac Operators
Authors: Nicole Berline, Ezra Getzler, Michèle Vergne
Series Title: Grundlehren Text Editions
Publisher: Springer Berlin, Heidelberg
-
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Hardcover ISBN: 978-3-540-53340-5Due: 16 December 1991
Softcover ISBN: 978-3-540-20062-8Published: 08 December 2003
Series ISSN: 1618-2685
Series E-ISSN: 2627-5260
Edition Number: 1
Number of Pages: IX, 363
Additional Information: Originally published as Volume 298 in the series: "Grundlehren der mathematischen Wissenschaften", 1992