1202.2292 (Hossein Abbaspour et al.)

On 2-Holonomy    [PDF]

Hossein Abbaspour, Friedrich Wagemann

We construct a cycle in higher Hochschild homology associated to the
2-dimensional torus which represents 2-holonomy of a non-abelian gerbe in the
same way the ordinary holonomy of a principal G-bundle gives rise to a cycle in
ordinary Hochschild homology. This is done using the connection 1-form of
Baez-Schreiber.
A crucial ingredient in our work is the possibility to arrange that in the
structure crossed module mu: g -> h of the principal 2-bundle, the Lie algebra
h is abelian, up to equivalence of crossed modules.

View original: http://arxiv.org/abs/1202.2292