Derived automorphism groups of K3 surfaces of Picard rank $1$

Arend Bayer, Tom Bridgeland
2017 Duke mathematical journal  
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.
doi:10.1215/00127094-3674332 fatcat:ziqyejnh4rfztmpx5qoyt5icky