  The Chern-Simons perturbation theory gives an invariant $d(M,\rho)$ for a
pair of a closed oriented 3-manifold $M$ and a representation $\rho$ of the
fundamental group. We generalize $d(M,\rho)$ for compact oriented 3-manifolds
with torus boundaries. Further we give a gluing formula for $d(M,\rho)$.
