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 . We do this by proving that a distinguished connected component of the space of stability conditions is preserved by all autoequivalences and is contractible.
"Derived automorphism groups of K3 surfaces of Picard rank ." Duke Math. J. 166 (1) 75 - 124, 15 January 2017. https://doi.org/10.1215/00127094-3674332