Discriminants and semi-orthogonal decompositions (Q2113497)

The action of the fundamental group of the base of the mirror manifold on the derived category of a given Calabi-Yau manifold has been fascinating to contemplate for quite some time. Complete intersections in toric varieties provide a source of motivation and arena for concrete calculations. The contribution of the present, very well written paper is a Jordan-Hölder property for the semi-orthogonal decompositions of the derived category of the \textit{ambient} toric variety. This yields some numerical predictions for the Seidel-Thomas twists around the GKZ discriminant locus, which have yet to be described explicitly.