Derived categories of moduli spaces of vector bundles on curves

Let X be a smooth projective curve of genus g≥4 over C and M the moduli space of stable vector bundles of rank 2 and determinant isomorphic to a fixed line bundle of degree 1. We prove in this paper that Db(X) is embedded (via ΦE) in Db(M) as a full subcategory (if g≥4).