Heat Kernels and Dirac Operators Grundlehren Text Editions
by [Berline, Nicole]
$75.15
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.
Product Details
- Springer Nature Brand
- Dec 8, 2003 Pub Date:
- 9783540200628 ISBN-13:
- 3540200622 ISBN-10:
- 363.0 pages Paperback
- English Language
- 9.25 in * 0.85 in * 6.1 in Dimensions:
- 2 lb Weight:
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