We enhance the quandle coloring quiver invariant of oriented knots and links with quandle modules. This results in a two-variable polynomial invariant which specializes to the previous quandle module polynomial invariant as well as to the quandle counting invariant. We provide example computations to show that the enhancement is proper in the sense that it distinguishes knots and links with the same quandle module polynomial.

中文翻译：

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Quandle 模块箭袋

我们增强了 quandle 着色 quiver 不变量的定向结和与 quandle 模块的链接。这导致了一个二变量多项式不变量，它专门用于先前的 quandle 模块多项式不变量以及 quandle 计数不变量。我们提供了示例计算来表明增强是正确的，因为它可以区分具有相同 quandle 模块多项式的结和链接。