The Abelian/Nonabelian correspondence and Frobenius manifolds
The Abelian/Nonabelian correspondence and Frobenius manifolds
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DOI：
10.1007/s00222-007-0082-x
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发表时间：
2006-10
影响因子：
3.1
通讯作者：
I. Ciocan-Fontanine;Bumsig Kim;C. Sabbah
中科院分区：
文献类型：
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作者：
I. Ciocan-Fontanine;Bumsig Kim;C. Sabbah
我们通过Frobenius流形研究了非交换商X//G的有理Gromov-Witten不变量与相应的“离散化”商X//T，Forta极大环面之间的关系。随后的猜想用X/T的位势来表示X//G的Gromov-Witten位势。当非交换商是部分旗形时，我们证明了这个猜想。
We propose an approach via Frobenius manifolds to the study (began in [BCK2] of the relation between rational Gromov–Witten invariants of nonabelian quotientsX//Gand those of the corresponding “abelianized” quotientsX//T, forTa maximal torus inG. The ensuing conjecture expresses the Gromov–Witten potential ofX//Gin terms of the potential ofX//T. We prove this conjecture when the nonabelian quotients are partial flag manifolds.