Moduli spaces of framed instanton bundles on [formula omitted] and twistor sections of moduli spaces of instantons on [formula omitted

Abstract

We show that the moduli space M of framed instanton bundles on CP 3 is isomorphic (as a complex manifold) to a subvariety in the moduli of rational curves of the twistor space of the moduli space of framed instantons on R 4 . We then use this characterization to prove that M is equipped with a torsion-free affine connection with holonomy in Sp ( 2 n , C ) .