Derived automorphism groups of K3 surfaces of Picard rank 1 (1310.8266v3)

Abstract: We give a complete description of the group of exact autoequivalences of the bounded derived category of coherent sheaves on a K3 surface of Picard rank 1. We do this by proving that a distinguished connected component of the space of stability conditions is preserved by all autoequivalences, and is contractible.