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We construct examples of hyperKahler manifolds of Picard number two withautomorphisms of positive entropy via derived automorphisms of K3 surfaces ofPicard number one. Our hyperKahler manifolds are constructed as moduli spacesof Bridgeland stable objects in derived categories of K3 surfaces. Thenautomorphisms of positive entropy are induced by derived automorphisms ofpositive entropy on K3 surfaces.

Automorphisms of positive entropy on some hyperKahler manifolds via derived automorphisms of K3 surfaces