Automorphisms of positive entropy on some hyperKahler manifolds via   derived automorphisms of K3 surfaces
  We construct examples of hyperKahler manifolds of Picard number two with automorphisms of positive entropy via derived automorphisms of K3 surfaces of Picard number one. Our hyperKahler manifolds are constructed as moduli spaces of Bridgeland stable objects in derived categories of K3 surfaces. Then automorphisms of positive entropy are induced by derived automorphisms of positive entropy on K3 surfaces. 
Genki Ouchi
math.AG math.DS