论文标题
在史密尔（Seidel
On Seidel representation in quantum K-theory of Grassmannians
论文作者
论文摘要
我们通过具体研究了Gromov-Witten的品种，在量子K理论QK（GR（K，N））中提供了Seidel表示的直接证明。作为应用，我们提供了Buch和Mihalcea的K理论量子Pieri规则的替代证明，将较高程度的某些量子结构常数降低到经典的Littlewood-Richardson系数K（gr（k，k，n）），并为Qk（gr（3，n）提供量子Littlewood-Richardson。
We provide a direct proof of Seidel representation in the quantum K-theory QK(Gr(k, n)) by studying projected Gromov-Witten varieties concretely. As applications, we give an alternative proof of the K-theoretic quantum Pieri rule by Buch and Mihalcea, reduce certain quantum Schubert structure constants of higher degree to classical Littlewood-Richardson coefficients for K(Gr(k, n)), and provide a quantum Littlewood-Richardson rule for QK(Gr(3, n)).
