  We consider a Ginzburg-Landau model for superconductivity with a Chern-Simons
term added. The flow diagram contains two charged fixed points corresponding to
the tricritical and infrared stable fixed points. The topological coupling
controls the fixed point structure and eventually the region of first order
transitions disappears. We compute the critical exponents as a function of the
topological coupling. We obtain that the value of the $\nu$ exponent does not
vary very much from the XY value, $\nu_{XY}=0.67$. This shows that the
Chern-Simons term does not affect considerably the XY scaling of
superconductors. We discuss briefly the possible phenomenological applications
of this model.
