  We show how characteristic classes determine equivariant prequantization
bundles over the space of connections on a principal bundle. These bundles are
shown to generalize the Chern-Simons line bundles to arbitrary dimensions. Our
result applies to arbitrary bundles, and it is studied the action of both the
gauge group and the automorphisms group. The action of the elements in the
connected component of the identity of the group generalizes known results in
the literature. The action of the elements not connected with the identity is
shown to be determined by a characteristic class by using differential
characters and equivariant cohomology. We extend our results to the space of
Riemannian metrics and the actions of diffeomorphisms. In dimension 2, a
${\Gamma}_{M}$-equivariant prequantization bundle of the Weil-Petersson
symplectic form on the Teichm\"uller space is obtained, where ${\Gamma}_{M}$ is
the mapping class group of the surface M.
