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We extract the macroscopic characteristics of the groundstate sectors of twodimensional Bose-condensed BCS models with a fixed number of magnetic fluxquanta, on length scales much larger than the characteristic size of theCooper-pair bound states. We show that this reduces to the problem of computingthe moduli space of gauge-inequivalent solutions to the Gross-Pitaevskiiequations on a nontrivial fibre bundle. Inspired in part by the physicalarguments of Oshikawa and Senthil in Fractionalization, Topological Order, andQuasiparticle Statistics, we extract a large class of groundstates from thismoduli space.

Monopole-Enriched Groundstates of Two-Dimensional BCS Models