Heat Kernels and Dirac Operators PDF
by Nicole Berline, Ezra Getzler, Michele Vergne
Part of the Grundlehren Text Editions series
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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.
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- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:09/05/2024
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- ISBN:9783642580888
Other Formats
- Paperback / softback from £40.62
Information
-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:09/05/2024
- Category:
- ISBN:9783642580888