The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
Author:   J.J. Duistermaat
Publisher:   Birkhauser Boston Inc
Edition:   2011 ed.
ISBN:  

9780817682460


Pages:   247
Publication Date:   08 July 2011
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator


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Overview

Reprinted as it originally appeared in the 1990s, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics. The book covers a variety of concepts fundamental to the study and applications of the spin-c Dirac operator, making use of the heat kernels theory of Berline, Getzlet, and Vergne. True to the precision and clarity for which J.J. Duistermaat was so well known, the exposition is elegant and concise.

Full Product Details

Author:   J.J. Duistermaat
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2011 ed.
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.820kg
ISBN:  

9780817682460


ISBN 10:   0817682465
Pages:   247
Publication Date:   08 July 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

1 Introduction.- 2 The Dolbeault-Dirac Operator.- 3 Clifford Modules.- 4 The Spin Group and the Spin-c Group.- 5 The Spin-c Dirac Operator.- 6 Its Square.- 7 The Heat Kernel Method.- 8 The Heat Kernel Expansion.- 9 The Heat Kernel on a Principal Bundle.- 10 The Automorphism.- 11 The Hirzebruch-Riemann-Roch Integrand.- 12 The Local Lefschetz Fixed Point Formula.- 13 Characteristic Case.- 14 The Orbifold Version.- 15 Application to Symplectic Geometry.- 16 Appendix: Equivariant Forms.

Reviews

Overall this is a carefully written, highly readable book on a very beautiful subject. --Mathematical Reviews The book of J.J. Duistermaat is a nice introduction to analysis related [to the] spin-c Dirac operator. ... The book is almost self contained, [is] readable, and will be useful for anybody who is interested in the topic. --EMS Newsletter The author's book is a marvelous introduction to [these] objects and theories. --Zentralblatt MATH


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