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.
CITATION STYLE
Breen, L. (2011). Differential geometry of gerbes and differential forms. In Progress in Mathematics (Vol. 287, pp. 57–92). Springer Basel. https://doi.org/10.1007/978-0-8176-4735-3_4
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