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Differential Geometry of Gerbes and Differential Forms

  • Lawrence BreenEmail author
Chapter
Part of the Progress in Mathematics book series (PM, volume 287)

Abstract

We discuss certain aspects of the combinatorial approach to the differential geometry of non-abelian gerbes due to W. Messing and the author [5], and give a more direct derivation of the associated cocycle equations. This leads us to a more restrictive definition than in [5] of the corresponding coboundary relations. We also show that the diagrammatic proofs of certain local curving and curvature equations may be replaced by computations with differential forms.

Gerbe Connective structure Čech–de Rham cohomology 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Université Paris 13, CNRS, UMR 7539 LAGAVilletaneuseFrance

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