Meromorphic connections, determinant line bundles and the Tyurin parametrization

We develop a holomorphic equivalence between on one hand the space of pairs (stable bundle, flat connection bundle) and sheaf connections (the splittings one-jet sequence) for determinant (Quillen) line bundle over moduli vector bundles compact connected Riemann surface. This is shown to be holomorphically symplectic. The equivalences, both symplectic, seem quite general, in that they extend other general families connections, particular those arising from Tyurin stable These generalize parametrization $E$ surface, can build above them spaces (equivalence classes of) which are again also symplectically biholomorphically equivalent family. last portion paper shows how this extends framed bundles.