We show that the method of Wu [J. Geom. Phys. 12 (1993) 205] to study
topological 4D-gravity can be understood within a standard method now
designed to produce equivariant cohomology classes. Next, this general
framework is applied to produce some observables of the topological 4
D-gravity. (C) 1998 Elsevier Science B.V.