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  • © 2011

The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator

Birkhäuser
  • Affordable softcover edition of the only book ever published on the subject
  • Written by one of the leading geometric analysts of the late 20th century
  • Presents interesting applications of theory
  • Gives an accessible approach to the field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Modern Birkhäuser Classics (MBC)

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Softcover Book USD 69.99
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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xi
  2. Introduction

    • J. J. Duistermaat
    Pages 1-5
  3. The Dolbeault-Dirac Operator

    • J. J. Duistermaat
    Pages 7-17
  4. Clifford Modules

    • J. J. Duistermaat
    Pages 19-33
  5. The Spin Group and the Spin-c Group

    • J. J. Duistermaat
    Pages 35-40
  6. The Spin-c Dirac Operator

    • J. J. Duistermaat
    Pages 41-51
  7. Its Square

    • J. J. Duistermaat
    Pages 53-68
  8. The Heat Kernel Method

    • J. J. Duistermaat
    Pages 69-75
  9. The Heat Kernel Expansion

    • J. J. Duistermaat
    Pages 77-97
  10. The Heat Kernel on a Principal Bundle

    • J. J. Duistermaat
    Pages 99-115
  11. The Automorphism

    • J. J. Duistermaat
    Pages 117-129
  12. The Hirzebruch-Riemann-Roch Integrand

    • J. J. Duistermaat
    Pages 131-145
  13. The Local Lefschetz Fixed Point Formula

    • J. J. Duistermaat
    Pages 147-156
  14. Characteristic Classes

    • J. J. Duistermaat
    Pages 157-170
  15. The Orbifold Version

    • J. J. Duistermaat
    Pages 171-186
  16. Application to Symplectic Geometry

    • J. J. Duistermaat
    Pages 187-219
  17. Appendix: Equivariant Forms

    • J. J. Duistermaat
    Pages 221-235
  18. Back Matter

    Pages 237-247

About this book

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.

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

Bibliographic Information

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
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