量子D-模与广义镜像变换
Quantum D-modules and generalized mirror transformations
摘要：
在前一篇文章中，作者对复曲面簇中的完全交定义了等变Floer上同调，并证明了当切丛的第一Chern类c_1（M）为nef时，它同构于镜像变换后的小量子D-模。本文证明了即使当c_1（M）不是nef时，在一定条件下，等变Floer上同调在环境复曲面簇上重构大量子D-模.这个证明是基于Coates和Givental的镜像定理。这里的重建过程给出了一个广义的镜像变换首次观察到的Jinzenji在低程度。
英文摘要：
In the previous paper, 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 c_1(M) of the tangent bundle is nef. In this paper, even when c_1(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. The reconstruction procedure here gives a generalized mirror transformation first observed by Jinzenji in low degrees.
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