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Type: Journal article
Title: Bundle gerbes
Author: Murray, M.
Citation: Journal of London Mathematical Society, 1996; 54(2):403-416
Issue Date: 1996
ISSN: 0024-6107
Abstract: Just as ℂ× principal bundles provide a geometric realisation of two-dimensional integral cohomology, gerbes or sheaves of groupoids, provide a geometric realisation of three-dimensional integral cohomology through their Dixmier-Douady class. I consider an alternative related geometric realisation of three-dimensional cohomology called a bundle gerbe. Every bundle gerbe gives rise to a gerbe and most of the well-known examples of gerbes are bundle gerbes. I discuss the properties of bundle gerbes, in particular bundle gerbe connections and curvature and their associated Dixmier-Douady class.
DOI: 10.1112/jlms/54.2.403
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Appears in Collections:Aurora harvest
Pure Mathematics publications

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