Sklyanin’s formula provides a set of canonical spectral coordinates on the standard Calogero-Moser space associated with the quiver consisting of a vertex and a loop. We generalize this result to Calogero-Moser spaces attached to cyclic quivers by constructing rational functions that relate spectral coordinates to conjugate variables. These canonical coordinates turn out to be well-defined on the corresponding simple singularity of type A, and the rational functions we construct define interpolating polynomials between them.

中文翻译：

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与循环箭袋相关的 Calogero-Moser 空间的规范光谱坐标

Sklyanin 公式提供了标准 Calogero-Moser 空间上的一组规范光谱坐标，这些坐标与由顶点和环组成的箭袋相关联。我们通过构建将光谱坐标与共轭变量相关联的有理函数，将此结果推广到连接到循环箭袋的 Calogero-Moser 空间。事实证明，这些规范坐标在类型 A 的相应简单奇点上是明确定义的，我们构建的有理函数定义了它们之间的插值多项​​式。