  We extract the macroscopic characteristics of the groundstate sectors of two
dimensional Bose-condensed BCS models with a fixed number of magnetic flux
quanta, on length scales much larger than the characteristic size of the
Cooper-pair bound states. We show that this reduces to the problem of computing
the moduli space of gauge-inequivalent solutions to the Gross-Pitaevskii
equations on a nontrivial fibre bundle. Inspired in part by the physical
arguments of Oshikawa and Senthil in Fractionalization, Topological Order, and
Quasiparticle Statistics, we extract a large class of groundstates from this
moduli space.
