  There is a well-known correspondence between the symplectic variety of
representations of the fundamental group of a punctured Riemann surface into a
compact Lie group G, with fixed conjugacy classes at the punctures, and a
complex variety of holomorphic bundles on the unpunctured surface with a
parabolic structure at the puncture points. For G=SU(2), we build a symplectic
variety of pairs (representations of the fundamental group into G, `weighted
frame' at the puncture points), and a corresponding complex variety of moduli
of `framed parabolic bundles', which encompass respectively all of the above
spaces, in the sense that one can obtain the former from the latter by taking a
symplectic quotient or a geometric invariant theory quotient. This allows us to
explain certain features of the toric geometry of the SU(2) moduli spaces
discussed by Jeffrey and Weitsman, by giving the actual toric variety
associated with their integrable system.
