论文标题
曲折束的量子共同体的收敛和分析分解
Convergence and Analytic Decomposition of Quantum Cohomology of Toric Bundles
论文作者
论文摘要
我们证明，圆环束e \ to b comments的大型量子QH^*_ t（e）的总空间，规定大量子同胞qh^*（b）收敛。证明是基于布朗的镜子定理的曲折捆绑包。 Coates，Givental和Tseng已经观察到，E将E分裂为B的量子连接在B的副本中，假设QH^*（B）是收敛的，我们构建了E的量子D模块的分解为B的直接总和，这是对B的直接总和，这是对QH^*_ T（e）的参数分析的。特别是，我们获得了E.的均等/非等分的大量子共同体的分析分解。
We prove that the equivariant big quantum cohomology QH^*_T(E) of the total space of a toric bundle E \to B converges provided that the big quantum cohomology QH^*(B) converges. The proof is based on Brown's mirror theorem for toric bundles. It has been observed by Coates, Givental and Tseng that the quantum connection of E splits into copies of that of B. Under the assumption that QH^*(B) is convergent, we construct a decomposition of the quantum D-module of E into a direct sum of that of B, which is analytic with respect to parameters of QH^*_T(E). In particular, we obtain an analytic decomposition for the equivariant/non-equivariant big quantum cohomology of E.
