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math.AG2001
Differential Geometry of Gerbes
Lawrence Breen, William Messing
We define in a global manner the notion of a connective structure for a gerbe on a space X. When the gerbe is endowed with trivializing data with respect to an open cover of X, we…
math.AG2000
Combinatorial Differential Forms
Lawrence Breen, William Messing
We extend to a scheme-theoretic context the notion of a combinatorial differential form, due to A.Kock in the framework of synthetic differential geometry. We show that group-value…