We define and study the space of q-opers associated with Bethe equations for integrable models of XXZ type with quantum toroidal algebra symmetry. Our construction is suggested by the study of the enumerative geometry of cyclic quiver varieties, in particular the ADHM moduli spaces. We define $\left (\overline {GL}(\infty ),q\right )$ -opers with regular singularities and then, by imposing various analytic conditions on singularities, arrive at the desired Bethe equations for toroidal q-opers.

中文翻译：

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环形 q-OPERS

我们定义和研究空间q- 与 Bethe 方程相关的算子，用于具有量子环形代数对称性的 XXZ 型可积模型。我们的构造是通过对循环箭袋品种的枚举几何的研究提出的，特别是 ADHM 模空间。我们定义 $\left (\overline {GL}(\infty ),q\right )$ -具有规则奇点的算子，然后通过对奇点施加各种分析条件，得出所需的环形 Bethe 方程q-操作员。