Connections and curvings on lifting bundle gerbes

Details Connections and curvings on lifting bundle gerbes Connections and curvings on lifting bundle gerbes

2001-07-24

arxiv.org/abs/math/0107175v2

J. London Math. Soc. (2) 67 (2003), no. 2, 510--526.

Mathematics

Differential Geometry

18 pages, LaTeX; The definition of splitting is modified. Section 3 and 4 of the old version are united

Scientific paper

We construct a connection and a curving on a bundle gerbe associated with lifting a structure group of a principal bundle to a central extension. The construction is based on certain structures on the bundle, i.e. connections and splittings. The Deligne cohomology class of the lifting bundle gerbe with the connection and with the curving coincides with the obstruction class of the lifting problem with these structures.

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