A mirror theorem for toric stacks
A mirror theorem for toric stacks
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DOI：
10.1112/s0010437x15007356
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发表时间：
2013-10
影响因子：
1.8
通讯作者：
T. Coates;A. Corti;H. Iritani;Hsian-Hua Tseng
中科院分区：
文献类型：
--
作者：
T. Coates;A. Corti;H. Iritani;Hsian-Hua Tseng
我们证明了复曲面Deligne-Mumford堆栈${\mathcal{X}}$的Givental式镜像定理。这确定了格零Gromov-Witten不变量的${\mathcal{X}}$在一个显式的超几何函数，称为$I$-函数，其值在陈阮orbifold上同调${\mathcal{X}}$。
We prove a Givental-style mirror theorem for toric Deligne–Mumford stacks ${\mathcal{X}}$. This determines the genus-zero Gromov–Witten invariants of ${\mathcal{X}}$ in terms of an explicit hypergeometric function, called the $I$-function, that takes values in the Chen–Ruan orbifold cohomology of ${\mathcal{X}}$.