Quantum K-Theory of Grassmannians and Non-Abelian Localization
Quantum K-Theory of Grassmannians and Non-Abelian Localization
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DOI：
10.3842/sigma.2021.018
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发表时间：
2020-08
影响因子：
0.9
通讯作者：
A. Givental;Xiaohan Yan
中科院分区：
文献类型：
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作者：
A. Givental;Xiaohan Yan
在复杂的grassmannians的例子中，我们展示了各种技术可用于计算属0 K理论GW-不变量的旗流形和更一般的GW-variants品种。特别是，我们解决明确重建所有这些不变量使用有限差分算子，在这种品种的合理曲线的空间的拟映射紧化的背景下产生的q-超几何级数的作用，扭曲的GW-不变量，包括水平结构的理论，以及杰克逊型积分发挥作用的K-理论镜。
In the example of complex grassmannians, we demonstrate various techniques available for computing genus-0 K-theoretic GW-invariants of flag manifolds and more general quiver varieties. In particular, we address explicit reconstruction of all such invariants using finite-difference operators, the role of the q-hypergeometric series arising in the context of quasimap compactifications of spaces of rational curves in such varieties, the theory of twisted GW-invariants including level structures, as well as the Jackson-type integrals playing the role of K-theoretic mirrors.