Heat Kernels and Dirac Operators Paperback / softback
by Nicole Berline, Ezra Getzler, Michele Vergne
Part of the Grundlehren Text Editions series
Paperback / softback
- Information
Description
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.
Information
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:363 pages, IX, 363 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:08/12/2003
- Category:
- ISBN:9783540200628
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:363 pages, IX, 363 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:08/12/2003
- Category:
- ISBN:9783540200628
