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Principal Bundles and the Dixmier Douady Class |
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| Authors: | Alan L. Carey Diarmuid Crowley Michael K. Murray |
| Affiliation: | 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 Department of Mathematics, Indiana University, Bloomington, IN 47405-4301, USA.? E-mail: dcrowley@iu-math.math.indiana.edu, US |
| 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. Received: 26 February 1997 / Accepted: 5 August 1997 |
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