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4 papers
Combinatorial Stacks and the Four-Colour Theorem
Romain Attal
We interpret the number of good four-colourings of the faces of a trivalent, spherical polyhedron as the 2-holonomy of the 2-connection of a fibered category, phi, modeled on Rep(s…
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…
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…
From topological quantum mechanics to the physics of spin-one particles
Romain Attal, Laurent Baulieu
We give an example of topological theory whose Hilbert space contains physical objects: the N=2 supersymmetric Lagrangian of spin-one particles moving in D-dimensional space-time e…