On the derived category of the Hilbert scheme of points on an Enriques   surface
  We use semi-orthogonal decompositions to construct autoequivalences of Hilbert schemes of points on Enriques surfaces and of Calabi-Yau varieties which cover them. While doing this, we show that the derived category of a surface whose irregularity and geometric genus vanish embeds into the derived category of its Hilbert scheme of points. 
Andreas Krug, Pawel Sosna
math.AG