| Title | A cubical set approach to 2-bundles with connection and Wilson surfaces |
| Publication Type | Unpublished |
| Year of Publication | 2010 |
| Authors | Martins JF, Picken R |
| Series Title | Preprint |
| Keywords | 2-bundle, 2-dimensional holonomy, categorical group, cubical set, double groupoid, Higher Gauge Theory, non-abelian gerbe, non-abelian integral calculus, Wilson surface |
| Abstract | In the context of non-abelian gerbes we define a cubical version of categorical group 2-bundles with connection over a smooth manifold. We define their two-dimensional parallel transport, study its properties, and define non-abelian Wilson surface functionals. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2010/21_10.pdf |
