A Chevalley formula for the equivariant quantum $K$-theory of cominuscule varieties
A Chevalley formula for the equivariant quantum $K$-theory of cominuscule varieties
复制标题
DOI：
10.14231/ag-2018-015
复制
发表时间：
2016-04
影响因子：
1.5
通讯作者：
A. Buch;P. Chaput;L. Mihalcea;N. Perrin
中科院分区：
文献类型：
--
作者：
A. Buch;P. Chaput;L. Mihalcea;N. Perrin
本文证明了一个类型一致的Chevalley公式，它适用于任何可微旗簇G/P$的等变量子K$理论环中与因子类相乘的情形。我们还证明了乘法与除数类确定的等变量子$K$-理论的任意标志品种。这些结果证明了Gorbounov和Korff关于Lie型A的Grassmannian的等变量子K$-理论的一个猜想。
We prove a type-uniform Chevalley formula for multiplication with divisor classes in the equivariant quantum $K$-theory ring of any cominuscule flag variety $G/P$. We also prove that multiplication with divisor classes determines the equivariant quantum $K$-theory of arbitrary flag varieties. These results prove a conjecture of Gorbounov and Korff concerning the equivariant quantum $K$-theory of Grassmannians of Lie type A.