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https://hdl.handle.net/2440/3645
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Type: | Journal article |
Title: | Bundle gerbes |
Author: | Murray, M. |
Citation: | Journal of London Mathematical Society, 1996; 54(2):403-416 |
Publisher: | LONDON MATH SOC |
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 |
Published version: | http://dx.doi.org/10.1112/jlms/54.2.403 |
Appears in Collections: | Aurora harvest Pure Mathematics publications |
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