The full strange duality conjecture for generalized Verlinde bundles

Let $E_{r,d,k}$ denote the Verlinde bundle associated with rank $r$, degree $d$, and level $k$, and let $r_1,d_1,h$ be the auxiliary parameters used in the construction. The unique nonzero theta section induces a morphism

$$SD:E_{r,d,k}^{*}\longrightarrow \left(E_{kr_{1},kr_{1}(g-1)-kd_{1},h}\right)^{\widehat{}}.$$

Full strange duality conjecture. The morphism $SD$ is an isomorphism. This is the global formulation of the full strange-duality statement for the generalized Verlinde bundles; the paper presents the map, but the supplied text does not state a resolution of the isomorphism claim.