English

Principal Bundles and the Dixmier Douady Class

High Energy Physics - Theory 2008-11-26 v2

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.

Keywords

Cite

@article{arxiv.hep-th/9702147,
  title  = {Principal Bundles and the Dixmier Douady Class},
  author = {Alan L. Carey and Diarmuid Crowley and Michael K. Murray},
  journal= {arXiv preprint arXiv:hep-th/9702147},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T16:03:45.585Z