Modern Birkhäuser Classics

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

Authors: Duistermaat, J.J.

  • 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
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eBook $54.99
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  • ISBN 978-0-8176-8247-7
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  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-0-8176-8246-0
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  • Usually dispatched within 3 to 5 business days.
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About this book

Interest in the spin-c Dirac operator originally came about from the study of complex analytic manifolds, where in the non-Kähler case the Dolbeault operator is no longer suitable for getting local formulas for the Riemann–Roch number or the holomorphic Lefschetz number. However, every symplectic manifold (phase space in classical mechanics) also carries an almost complex structure and hence a corresponding spin-c Dirac operator. Using the heat kernels theory of Berline, Getzler, and Vergne, this work revisits some fundamental concepts of the theory, and presents the application to symplectic geometry.

J.J. Duistermaat was well known for his beautiful and concise expositions of seemingly familiar concepts, and this classic study is certainly no exception. Reprinted as it was originally published, this work is as an affordable text that will be of interest to a range of researchers in geometric analysis and mathematical physics.

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

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


Table of contents (16 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-0-8176-8247-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-0-8176-8246-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
Authors
Series Title
Modern Birkhäuser Classics
Copyright
2011
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8247-7
DOI
10.1007/978-0-8176-8247-7
Softcover ISBN
978-0-8176-8246-0
Series ISSN
2197-1803
Edition Number
1
Number of Pages
VIII, 247
Topics