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CONNECTIONS AND CURVINGS ON LIFTING BUNDLE GERBES

Published online by Cambridge University Press:  24 March 2003

KIYONORI GOMI
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Meguro-Ku, Tokyo 153-8914, Japankgomi@ms.u-tokyo.ac.jp
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Abstract

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.

Type
Notes and Papers
Copyright
The London Mathematical Society 2003

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