Heat Kernels and Dirac Operators

Berline, Nicole, and Getzler, Ezra, and Vergne, Michele

ISBN 10: 3540533400 / ISBN 13: 9783540533405

Published by Springer, Berlin, Germany, 2003

About this Item

***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Sewn binding. Cloth over boards. 363 p. Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover), 298. Audience: General/trade.

Seller Inventory # K308A0000071

Bibliographic Details

• Title: Heat Kernels and Dirac Operators
• Publisher: Springer, Berlin, Germany
• Publication Date: 2003
• Language: English
• ISBN 10: 3540533400
• ISBN 13: 9783540533405
• Binding: Trade paperback
• Edition: First edition. 1992. Corr. 2nd Printing
• Condition: New in new dust jacket.

About this title

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.

Review

Aus den Rezensionen:

"... Das vorliegende Buch ist die zweite korrigierte und erweiterte Ausgabe eines Werkes aus dem Jahre 1992. ... Ausgehend von einer Grundausbildung in klassischer Differentialgeometrie stellt das Buch alle zum Verständnis des Beweises notwendigen Voraussetzungen zur Verfügung. Dadurch eignet es sich einerseits zum Selbststudium für Studierende mit entsprechender Vorbildung ... andererseits als Grundlage einer Vorlesung über dieses ergiebige Thema."

(P. Grabner, in: IMN - Internationale Mathematische Nachrichten, 2006, Issue 202, S. 45)