Quantum Cohomology of Minuscule Homogeneous Spaces II Hidden Symmetries

被引：13

作者：

Chaput, Pierre-Emmanuel ^{[1
]}

Manivel, Laurent ^{[2
]}

Perrin, Nicolas ^{[3
]}

机构：

[1] UFR Sci & Tech, CNRS, Lab Math Jean Leray, UMR 6629, F-44322 Nantes 03, France

[2] Univ Grenoble 1, CNRS, UMR 5582, Inst Fournier, F-38402 St Martin Dheres, France

[3] Univ Paris 06, Inst Math, F-75252 Paris 05, France

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2007年 / 2007卷

关键词：

D O I：

10.1093/imrn/rnm107

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the quantum cohomology ring of any minuscule or cominuscule homogeneous space, once localized at the quantum parameter, has a nontrivial involution mapping Schubert classes to multiples of Schubert classes. This can be stated as a strange duality property for the Gromov-Witten invariants, which turn out to be very symmetric.

引用

页数：29

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