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math-ph2002
Combinatorics of Non-Abelian Gerbes with Connection and Curvature
Romain Attal
We give a functorial definition of -gerbes over a simplicial complex when the local symmetry group is non-Abelian. These combinatorial gerbes are naturally endowed with a co…
math-ph2001
Two-dimensional parallel transport : combinatorics and functoriality
Romain Attal
We extend the usual notion of parallel transport along a path to triangulated surfaces. A homotopy of paths is lifted into a fibered category with connection and this defines a fun…