4 papers
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…
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…
Braided n-categories and -structures
Lawrence Breen
We associate to a braided 2-stack a torsor, endowed with a symmetric cube structure (or -structure), whose triviality is equivalent to the existence on of…
Monoidal categories and multiextensions
Lawrence Breen
We show that the obstruction to the existence of a strict symmetric monoidal structure on a monoidal stack is determined by a commutator biextension associated to …