Quantum D-modules and Generalized Mirror Transformations
نویسنده
چکیده
In the previous paper [17], the author defined equivariant Floer cohomology for a complete intersection in a toric variety and showed that it is isomorphic to the small quantum D-module after a mirror transformation when the first Chern class c1(M) of the tangent bundle is nef. In this paper, even when c1(M) is not nef, we show that the equivariant Floer cohomology reconstructs the big quantum D-module under certain conditions on the ambient toric variety. The proof is based on a mirror theorem by Coates and Givental [4]. The reconstruction procedure here gives a generalized mirror transformation first observed by Jinzenji in low degrees [20, 21].
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