  We define the equivariant holonomy of an invariant connection on a principal
U(1)-bundle. The properties of the ordinary holonomy are generalized to the
equivariant setting. In particular, equivariant U(1)-bundles with connection
are shown to be classified by its equivariant holonomy modulo isomorphisms. We
also show that the equivariant holonomy can be used to obtain results about
equivariant prequantization and anomaly cancellation.
