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  • © 2004

Heat Kernels and Dirac Operators

Part of the book series: Grundlehren Text Editions (TEXTEDITIONS)

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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

  • Centre Matematiques, Ecole Politechnique Palaiseau URA/CNRS D 0169, Palaiseau CX, France

    Nicole Berline

  • Northwestern University Dept. Mathematics, Evanston, USA

    Ezra Getzler

  • Ecole Polytechnique Centre de Mathématiques, Palaiseau Cedex, France

    Michèle Vergne

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access