A mirror symmetric construction of q H T * ( G / P ) ( q )
A mirror symmetric construction of q H T * ( G / P ) ( q )
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q H T * ( G / P ) ( q ) 的镜像对称结构
DOI：
10.1016/j.aim.2007.08.010
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发表时间：
2008
影响因子：
1.7
通讯作者：
Rietsch K
中科院分区：
文献类型：
--
作者：
Rietsch K
设G是单连通复代数群.给出了广义旗簇G/P的代数镜像族的Lie理论构造，并证明了它恢复了量子参数反演的T-等变量子上同调环qHT <$（G/P）（q）的Peterson簇表示.对于SLn/B，我们将我们的构造与Givental定义的镜像族及其Joe和Kim的T-等变类似物相关联。
Let G be a simple simply connected complex algebraic group. We give a Lie-theoretic construction of a conjectural mirror family associated to a general flag variety G/P, and show that it recovers the Peterson variety presentation for the T-equivariant quantum cohomology rings qHT∗(G/P)(q)with quantum parameters inverted. For SLn/B we relate our construction to the mirror family defined by Givental and its T-equivariant analogue due to Joe and Kim.