  We establish a glueing theorem for the Ginzburg-Landau equations in dimension
$n > 2$. To this end, we consider a nondegenerate minimal submanifold of
codimension 2, and construct a one-parameter family of solutions to the
Ginzburg-Landau equations such that the energy density concentrates near this
submanifold. The proof is based on a construction of suitable approximate
solutions and the implicite function theorem.
