Under numerical assumptions, connected components of moduli spaces of modular vector bundles on K3^{[n]}-type IHS manifolds are again IHS manifolds of K3^{[n]}-type and induce derived equivalences with the original manifolds.
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On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds
Under numerical assumptions, connected components of moduli spaces of modular vector bundles on K3^{[n]}-type IHS manifolds are again IHS manifolds of K3^{[n]}-type and induce derived equivalences with the original manifolds.