Items related to Heat Kernels and Dirac Operators (Grundlehren Der Mathematis...
In this book, the Atiyah-Singer index theorem for Dirac operators on compact Riemannian manifolds and its more recent generalizations receive simple proofs. The main technique which is used is an explicit geometric construction of the heat kernels of a generalized Dirac operator. The first four chapters could be used at 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. Several chapters deal with other preparatory material.
"synopsis" may belong to another edition of this title.
From the Back Cover:
Review:
In the first edition of this book, 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) were presented, 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 paperback. 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. This book will be of interest to graduate students and researchers in differential geometry, Arakelov geometry, group representation theory and mathematical physics.
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)
"About this title" may belong to another edition of this title.
- PublisherSpringer Verlag
- Publication date1992
- ISBN 10 0387533400
- ISBN 13 9780387533407
- BindingHardcover
- Number of pages369
Buy New
Learn more about this copy
US$ 49.95
Shipping:
US$ 9.99
Within U.S.A.
Top Search Results from the AbeBooks Marketplace
International Edition
Heat Kernels and Dirac Operators
Published by
Secaucus, New Jersey, U.S.A.: Springer Verlag
(1992)
ISBN 10: 0387533400
ISBN 13: 9780387533407
New
Soft cover
Quantity: > 20
Seller:
Rating
Book Description Soft cover. Condition: New. Dust Jacket Condition: New. 1st Edition. **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. Seller Inventory # ABE-8191677992
Buy New
US$ 49.95
Convert currency
International Edition
Heat Kernels and Dirac Operators
Published by
Springer
(1996)
ISBN 10: 0387533400
ISBN 13: 9780387533407
New
Trade paperback
Quantity: > 20
Seller:
Rating
Book Description Trade paperback. Condition: New in new dust jacket. First edition. 2nd Corr Print ed. ***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. 369 p. NATO Asi Series. Series F, Computer and Systems Sciences, 298. Audience: General/trade. Seller Inventory # K308B0000072
Buy New
US$ 59.97
Convert currency