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1 results

  • CONNECTIONS AND CURVINGS ON LIFTING BUNDLE GERBES

  • KIYONORI GOMI
  • Journal:
    Journal of the London Mathematical Society / Volume 67 / Issue 2 / April 2003
    Published online by Cambridge University Press:
    24 March 2003, pp. 510-526
    Print publication:
    April 2003

  • A connection and a curving on a bundle gerbe associated with lifting a structure group of a principal bundle to a central extension are constructed. The construction is based on certain structures on the bundle, that is, connections and bundle 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.