论文标题
关于D. Peterson的$ g/p $量子共同体的介绍
On D. Peterson's presentation of quantum cohomology of $G/P$
论文作者
论文摘要
我们证明，任何国旗品种$ g/p $的$ t $ equivariant量子共同体都是与兰兰兹双重组方案$ g^{\ vee} $相关的彼得森计划的坐标环的同构。戴尔·彼得森（Dale Peterson）发现了这一结果，但仍未出版。我们的同构是使用Yun-Zhu的同构和Peterson-Lam-Shimozono的同态构建的。
We prove in full generality that the $T$-equivariant quantum cohomology of any flag variety $G/P$ is isomorphic to the coordinate ring of a stratum of the Peterson scheme associated to the Langlands dual group scheme $G^{\vee}$. This result was discovered by Dale Peterson but remains unpublished. Our isomorphism is constructed using Yun-Zhu's isomorphism and Peterson-Lam-Shimozono's homomorphism.
