Non-Fiction Books:

Heat Kernels and Dirac Operators

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Paperback / softback
$173.99
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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.
Release date Australia
December 8th, 2003
Audiences
  • General (US: Trade)
  • Professional & Vocational
  • Tertiary Education (US: College)
Illustrations
IX, 363 p.
Pages
363
Dimensions
156x234x19
ISBN-13
9783540200628
Product ID
5838228

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