Љ:
It is known that every closed oriented 3-manifold is a simple 3-fold branched
covering space of the 3-sphere branched along a link. We can regard the
branch set with some information as a presentation of the 3-manifold, which
we call the covering presentation. In this talk we give a new construction
of invariants of 3-manifolds formulated on their covering presentations,
and realize the Dijkgraaf-Witten invariant as such an invariant.