Abstract:
It is well-known that the GIT quotient depends on a choice of an equivariant ample line bundle. Various different quotients are related by birational transformations, and their B-models (D^bCoh) are related by semi-orthogonal decompositions, or derived equivalences. If we apply mirror symmetry,
it is natural to ask how the A-models of the mirror of various quotients are related. We give a description in the case of toric variety, where the A-side is described using constructible sheaves and Lagrangian skeleton.
This is a work in progress.