  A field theoretical realization of topological gravity is discussed in the
semirigid geometry context. In particular, its topological nature is given by
the relation between deRham cohomology and equivariant BRST cohomology and the
fact that all but one of the physical operators are BRST-exact. The puncture
equation and the dilaton equation of pure topological gravity are reproduced,
following reference \dil.
