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Communications in Mathematical Physics

, Volume 193, Issue 1, pp 171–196 | Cite as

Principal Bundles and the Dixmier Douady Class

  • Alan L. Carey
  • Diarmuid Crowley
  • Michael K. Murray

Abstract:

A systematic consideration of the problem of the reduction and “lifting” of the structure group of a principal bundle is made and a variety of techniques in each case are explored and related to one another. We apply these to the study of the Dixmier-Douady class in various contexts including string structures, \(\) bundles and other examples motivated by considerations from quantum field theory.

Keywords

Principal Bundle Dixmier Douady Class Douady Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Alan L. Carey
    • 1
  • Diarmuid Crowley
    • 2
  • Michael K. Murray
    • 1
  1. 1.Department of Pure Mathematics, University of Adelaide, Adelaide, South Australia 5005, Australia.¶E-mail: acarey@maths.adelaide.edu.au, mmurray@maths.adelaide.edu.au AU
  2. 2.Department of Mathematics, Indiana University, Bloomington, IN 47405-4301, USA.¶ E-mail: dcrowley@iu-math.math.indiana.eduUS

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