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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Physics (LNP, volume 726)
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Table of contents (27 chapters)
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Front Matter
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Physical Background to the K-Theory Classification of D-Branes: Introduction and References
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Front Matter
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Bundles over a Space and Modules over an Algebra
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Front Matter
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Homotopy Classification of Bundles and Cohomology: Classifying Spaces
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Front Matter
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Versions of K-Theory and Bott Periodicity
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Front Matter
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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)
Authors and Affiliations
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MPI für Mathematik, 53111 Bonn, Germany
D. Husemöller, B. Jurčo
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Mathematisches Institut, Universität Münster, Germany
M. Joachim
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Mathematisches Institut, Universität München, Germany
M. Schottenloher
Bibliographic Information
Book Title: Basic Bundle Theory and K-Cohomology Invariants
Authors: D. Husemöller, M. Joachim, B. Jurčo, M. Schottenloher
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-540-74956-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-74955-4Published: 18 December 2007
Softcover ISBN: 978-3-642-09436-1Published: 23 November 2010
eBook ISBN: 978-3-540-74956-1Published: 10 December 2007
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XV, 340
Topics: Category Theory, Homological Algebra, Mathematical Methods in Physics