  A detailed Faddeev-Jackiw quantization of an Abelian topological gravity is
performed; we show that this formalism is equivalent and more economical than
Dirac's method. In particular, we identify the complete set of constraints of
the theory, from which the number of physical degrees of freedom is explicitly
computed. We prove that the generalized Faddeev-Jackiw brackets and the Dirac
ones coincide to each other. Moreover, we perform the Faddeev-Jackiw analysis
of the theory at the chiral point, and the full set of constraints and the
generalized Faddeev-Jackiw brackets are constructed. Finally we compare our
results with those found in the literature and we discuss some remarks and
prospects.
