Basic Bundle Theory and K-Cohomology Invariants With contributions b
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 b
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ecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching – quickly and informally, but with a high quality and the explicit aim to summarize and communicate current knowledge in an accessible way. Books published in this series are conceived as bridging material between advanced graduate textbooks and the forefront of research and to serve three purposes: • to be a compact and modern up-to-date source of reference on a well-defined topic • to serve as an accessible introduction to the field to postgraduate students and nonspecialist researchers from related areas • to be a source of advanced teaching material for specialized seminars, courses and schools Both monographs and multi-author volumes will be considered for publication. Edited volumes should, however, consist of a very limited number of contributions only. Proceedings will not be considered for LNP. Volumes published in LNP are disseminated both in print and in electronic formats, the electronic archive being available at springerlink.com. The series content is indexed, abstracted and referenced by many abstracting and information services, bibliographic networks, subscription agencies, library networks, and consortia. Proposals should be sent to a member of the Editorial Board, or directly to the managing editor at Springer: Christian Caron Springer Heidelberg Physics Editorial Department I Tiergartenstrasse 17 69121 Heidelberg / Germany [email protected]
D. Husemöller M. Joachim B. Jurˇco M. Schottenloher
Basic Bundle Theory and K-Cohomology Invariants With contributions by Siegfried Echterhoff, Stefan Fredenhagen and Bernhard Krötz
Authors D. Husemöller MPI für Mathematik Vivatsgasse 7 53111 Bonn, Germany [email protected]
B. Jurˇco MPI für Mathematik Vivatsgasse 7 53111 Bonn, Germany [email protected]
M. Joachim Universität Münster Mathematisches Institut Einsteinstr. 62 48149 Münster, Germany [email protected]
M. Schottenloher Universität München Mathematisches Institut Theresienstr. 39 80333 München, Germany Martin.Schottenloher@Mathematik. Uni-Muenchen.de
Contributors Siegfried Echterhoff (Chap. 17, Appendix) Mathematisches Institut Westfälische Wilhelms-Universität Münster, Germany
Bernhard Krötz (Chap. 16, Appendix) MPI für Mathematik, Bonn, Germany
Stefan Fredenhagen (Physical Background to the K-Theory Classification of D-Branes), MPI für Gravitationsphysik, Potsdam, Germany D. Husemöller et al., Basic Bundle Theory and K-Cohomology Invariants, Lect. Notes Phys. 726 (Springer, Berlin Heidelberg 2008), DOI 10.1007/ 978-3-540-74956-1
Library of Congress Control Number: 2007936164
ISSN 0075-8450 ISBN 978-3-540-74955-4 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way,
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