2001/07/31 by Kiyonori Gomi
Mathematics · #math.DG #msc:55R65 #msc:57R20 #msc:14F43
published as J. London Math. Soc. (2) 67 (2003), no. 2, 510--526. · 18 pages, LaTeX; The definition of splitting is modified. Section 3 and 4 of the old version are united
arxiv created 2001/11/09 · arxiv updated 2009/11/30
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.