  In this paper we consider twice-dimensionally reduced, generalized
Seiberg-Witten equations, defined on a compact Riemann surface. A novel feature
of the reduction technique is that the resulting equations produce an extra
"Higgs field". Under suitable regularity assumptions, we show that the moduli
space of gauge-equivalent classes of solutions to the reduced equations, is a
smooth Kahler manifold and construct a pre-quantum line bundle over the moduli
space of solutions.
