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arXiv · 1503.02919

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

Hiroshi Iritani
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Abstract

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

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Hiroshi Iritani. 2015-03-10. A mirror construction for the big equivariant quantum cohomology of toric manifolds. https://doi.org/10.1007/s00208-016-1437-7

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