A mirror construction for the big equivariant quantum cohomology of toric manifolds

摘要

We identify a certain universal Landau-Ginzburg model as a mirror of the bigequivariant quantum cohomology of a (not necessarily compact or semipositive)toric manifold. The mirror map and the primitive form are constructed viaSeidel elements and shift operators for equivariant quantum cohomology.Primitive forms in non-equivariant theory are identified up to automorphisms ofthe mirror.