  The idea of the effective topological theory for high-energy scattering
proposed by H. and E. Verlinde is applied to the $(2+1)$ dimensional gravity
with Einstein action plus Chern-Simons terms. The calculational steps in the
topological description are compared with the eikonal approximation. It is
shown that the Lagrangian of the effective topological theory turns out to
vanish except for boundary terms.
