Bundle gerbes

dc.creatorMurray, Michael K.
dc.date1994-07-25
dc.date.accessioned2026-07-07T09:12:24Z
dc.date.available2026-07-07T09:12:24Z
dc.descriptionJust as $\Cstar$ 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 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/dg-ga/9407015
dc.identifierhttp://arxiv.org/abs/dg-ga/9407015
dc.identifierJ.Lond.Math.Soc. 54 (1996) 403-416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152012
dc.subjectDifferential Geometry
dc.titleBundle gerbes
dc.typetext

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