Principal Bundles and the Dixmier Douady Class

Abstract

A systematic consideration of the problem of the reduction and extension 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, U-res bundles and other examples motivated by considerations from quantum field theory.

28 pages, latex, no figures, uses amsmath, amsthm, amsfonts. Revised version - only change a lot of irritating typos removed

References in corpus (1)

• Index Theory, Gerbes, and Hamiltonian Quantization

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• Fractional Loop Group and Twisted K-Theory
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