Heat Kernels and Dirac Operators - Couverture rigide

Berline, Nicole; Etc.; Getzler, E.; Vergne, M.

Couverture rigide

ISBN 10 : 3540533400 ISBN 13 : 9783540533405

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991

Synopsis

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.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1991
• Langue: anglais
• ISBN 10: 3540533400
• ISBN 13: 9783540533405
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 376
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne