  We establish a duality between massive fermions coupled to topologically
massive gravity (TGM) in $d=3$ space-time dimensions and a purely gravity
theory which also will turn out to be a TGM theory but with different
parameters: the original graviton mass in the TGM theory coupled to fermions
picks-up a contribution from fermion bosonization. We obtain explicit
bosonization rules for the fermionic currents and for the
energy-momentum-tensor showing that the identifications do not depend
explicitly on the parameters of the theory. These results are the gravitational
analog of the results for $2+1$ Abelian and non-Abelian bosonization in flat
space-time.
