The Abelian/Nonabelian correspondence and Frobenius manifolds

被引：0
|
作者：
Ionuţ Ciocan-Fontanine
Bumsig Kim
Claude Sabbah
机构：
[1] University of Minnesota,School of Mathematics
[2] Korea Institute for Advanced Study,School of Mathematics
[3] École polytechnique,UMR 7640 du C.N.R.S., Centre de mathématiques Laurent Schwartz
来源：
Inventiones mathematicae | 2008年 / 171卷
关键词：
Line Bundle; Cohomology Class; Maximal Torus; Equivariant Cohomology; Quantum Cohomology;
D O I：
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中图分类号：
学科分类号：
摘要：
We propose an approach via Frobenius manifolds to the study (began in [BCK2] of the relation between rational Gromov–Witten invariants of nonabelian quotients X//G and those of the corresponding “abelianized” quotients X//T, for T a maximal torus in G. The ensuing conjecture expresses the Gromov–Witten potential of X//G in terms of the potential of X//T. We prove this conjecture when the nonabelian quotients are partial flag manifolds.
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页码：301 / 343
页数：42
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