Combinatorics of Non-Abelian Gerbes with Connection and Curvature
| dc.creator | Attal, Romain | |
| dc.date | 2002-03-27 | |
| dc.date.accessioned | 2026-07-07T04:29:06Z | |
| dc.date.available | 2026-07-07T04:29:06Z | |
| dc.description | We give a functorial definition of $G$-gerbes over a simplicial complex when the local symmetry group $G$ is non-Abelian. These combinatorial gerbes are naturally endowed with a connective structure and a curving. This allows us to define a fibered category equipped with a functorial connection over the space of edge-paths. By computing the curvature of the latter on the faces of an infinitesimal 4-simplex, we recover the cocycle identities satisfied by the curvature of this gerbe. The link with $BF$-theories suggests that gerbes provide a framework adapted to the geometric formulation of strongly coupled gauge theories. | |
| dc.description | 20 pages ; uses AMS-LaTeX and XY-pic | |
| dc.identifier | https://arxiv.org/abs/math-ph/0203056 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0203056 | |
| dc.identifier | Annales Fond.Broglie 29 (2004) 609-634 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57030 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Category Theory | |
| dc.title | Combinatorics of Non-Abelian Gerbes with Connection and Curvature | |
| dc.type | text |