Inspired by the homological mirror symmetry conjecture of Kontsevich , we construct new classes of automorphisms of the bounded derived category of coherent sheaves on a smooth quasi-projective variety.
"Derived category automorphisms from mirror symmetry." Duke Math. J. 127 (1) 1 - 34, 15 March 2005. https://doi.org/10.1215/S0012-7094-04-12711-3