Principal Bundles and the Dixmier Douady Class

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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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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Keywords

  • Principal Bundle
  • Dixmier Douady Class
  • Douady Class