Generalized parabolic bundles and applications- II

Abstract

We prove the existence of the moduli space M(n,d) of semistable generalised parabolic bundles (GPBs) of rank n, degree d of certain general type on a smooth curve. We study interesting cases of the moduli spaces M(n, d) and find explicit geometric descriptions for them in low ranks and genera. We define tensor products, symmetric powers etc. and the determinant of a GPB. We also define fixed determinant subvarieties M_L(n, d),L being a GPB of rank 1. We apply these results to study of moduli spaces of torsionfree sheaves on a reduced irreducible curve Y with nodes and ordinary cusps as singularities. We also study relations among these moduli spaces (rank 2) as polarization varies over [0, 1].