链环多项式的微分展开
Differential expansion for link polynomials
摘要：
微分展开式是反映色纽结多项式群论性质的关键结构之一，也是计算非平凡Racah矩阵的重要工具。这使得非常希望它的扩展从结链接，然而，这需要知识的$6j$ -符号，至少，为最简单的三元组的非重合表示。基于这一方向的最新研究成果，我们推测了一种特殊颜色链接的微分展开的形状，并给出了一组例子。在这项研究中，我们使用了一个特殊的框架，这是一个不寻常的扩展的拓扑框架，从结链接。在Whitehead环和Borromean环链的特殊情况下，微分展开式与以前发现的不同。
英文摘要：
The differential expansion is one of the key structures reflecting group theory properties of colored knot polynomials, which also becomes an important tool for evaluation of non-trivial Racah matrices. This makes highly desirable its extension from knots to links, which, however, requires knowledge of the $6j$-symbols, at least, for the simplest triples of non-coincident representations. Based on the recent achievements in this direction, we conjecture a shape of the differential expansion for symmetrically-colored links and provide a set of examples. Within this study, we use a special framing that is an unusual extension of the topological framing from knots to links. In the particular cases of Whitehead and Borromean rings links, the differential expansions are different from the previously discovered.
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