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CONNECTIONS AND CURVINGS ON LIFTING BUNDLE GERBES

Published online by Cambridge University Press:  24 March 2003

KIYONORI GOMI
KIYONORI GOMI
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Meguro-Ku, Tokyo 153-8914, [email protected]
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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.

Keywords

55R65 (primary)57R2014F43 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 67 , Issue 2 , April 2003 , pp. 510 - 526
Copyright
The London Mathematical Society 2003

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