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Principal Bundles and the Dixmier Douady Class

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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.

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Authors and Affiliations

  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

    Alan L. Carey & Michael K. Murray

  2. Department of Mathematics, Indiana University, Bloomington, IN 47405-4301, USA.¶ E-mail: dcrowley@iu-math.math.indiana.edu, , , , , , US

    Diarmuid Crowley

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  1. Alan L. Carey
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  2. Diarmuid Crowley
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  3. Michael K. Murray
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Received: 26 February 1997 / Accepted: 5 August 1997

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Carey, A., Crowley, D. & Murray, M. Principal Bundles and the Dixmier Douady Class . Comm Math Phys 193, 171–196 (1998). https://doi.org/10.1007/s002200050323

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  • DOI: https://doi.org/10.1007/s002200050323

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