论文标题
复曲面兰道 - 金茨堡模型的突变等效性
Mutation equivalence of toric Landau-Ginzburg models
论文作者
论文摘要
鉴于Fano完整的交叉路口，由收藏线的部分定义，nef线捆绑$ l_1，\ ldots，l_c $ in Fano toric歧管$ y $，givental/hori-vafa的构造提供了镜子偶尔二线Landau-Ginzburg模型。该结构取决于选择合适的NEF分区的选择；也就是说，由$ y $确定的风扇射线的分区。我们表明，由代表相同完整交叉点的不同NEF分区构建的复曲面Landau-Ginzburg模型与保留的Birational图相关。特别是，可以从这些Landau-Ginzburg模型中获得的各种Laurent多项式镜子是突变的。
Given a Fano complete intersection defined by sections of a collection nef line bundles $L_1,\ldots, L_c$ on a Fano toric manifold $Y$, a construction of Givental/Hori-Vafa provides a mirror-dual Landau-Ginzburg model. This construction depends on a choice of suitable nef partition; that is, a partition of the rays of the fan determined by $Y$. We show that toric Landau-Ginzburg models constructed from different nef partitions representing the same complete intersection are related by a volume preserving birational map. In particular, various Laurent polynomial mirrors which may be obtained from these Landau-Ginzburg models are mutation equivalent.
