We use Kauffman’s bracket polynomial to define a complex-valued invariant of virtual rational tangles that generalizes the well-known fraction invariant for classical rational tangles. We provide a recursive formula for computing the invariant, and use it to compute several examples.

中文翻译：

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虚拟理性缠结

我们使用考夫曼的括号多项式来定义虚拟有理缠结的复值不变量，该不变量推广了经典有理缠结的众所周知的分数不变量。我们提供了一个计算不变量的递归公式，并用它来计算几个例子。