CROSSED MODULE BUNDLE GERBES; CLASSIFICATION, STRING GROUP AND DIFFERENTIAL GEOMETRY
نویسندگان
چکیده
منابع مشابه
The Geometry of Bundle Gerbes
This thesis reviews the theory of bundle gerbes and then examines the higher dimensional notion of a bundle 2-gerbe. The notion of a bundle 2-gerbe connection and 2-curving are introduced and it is shown that there is a class in H(M ;Z) associated to any bundle 2-gerbe.
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Just asC 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...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2011
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887811005555