Lecture Notes in Physics

Basic Bundle Theory and K-Cohomology Invariants

Authors: Husemöller, D., JOACHIM, M., Jurco, B., Schottenloher, M.

  • Provides newcomers to the field with solid foundations in topological K-theory
  • A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object
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eBook $79.99
price for USA (gross)
  • ISBN 978-3-540-74956-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-540-74955-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-642-09436-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object.

One renewed motivation for studying this subject, which has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role.

Reviews

From the reviews:

"The book, according to the authors, originated in a course of lectures by D. Husemoller for physics students at the LMU in München during summer term 2003. … The book is suitable for those readers who want to learn this subject rapidly, even if they are newcomers to this field, and also for the sake of the interest in twisted K-theory this book will be stimulative even to the readers who have already studied Husemoller’s book … ." (Haruo Minami, Zentralblatt MATH, Vol. 1135 (13), 2008)


Table of contents (27 chapters)

  • Physical Background to the K-Theory Classification of D-Branes: Introduction and References

    Fredenhagen, S.

    Pages 1-6

  • Generalities on Bundles and Categories

    Husemöller, D. (et al.)

    Pages 9-22

  • Vector Bundles

    Husemöller, D. (et al.)

    Pages 23-34

  • Relation Between Vector Bundles, Projective Modules, and Idempotents

    Husemöller, D. (et al.)

    Pages 35-44

  • K-Theory of Vector Bundles, of Modules, and of Idempotents

    Husemöller, D. (et al.)

    Pages 45-54

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-540-74956-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-540-74955-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-642-09436-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Basic Bundle Theory and K-Cohomology Invariants
Authors
Series Title
Lecture Notes in Physics
Series Volume
726
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-74956-1
DOI
10.1007/978-3-540-74956-1
Hardcover ISBN
978-3-540-74955-4
Softcover ISBN
978-3-642-09436-1
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XV, 340
Topics