论文标题

单数结和链接的多项式不变

Polynomial Invariants of Singular Knots and links

论文作者

Ceniceros, Jose, Churchill, Indu R., Elhamdadi, Mohamed

论文摘要

我们将Quandle多项式的概念概括为单方面的情况。我们表明,单一多项式是有限单品的不变性。我们还构建了单个多项式的单数链接不变,并表明这种新的单数链接不变概述了单一数字不变。特别是,使用新的多项式不变,我们可以通过相同的单句数不变性区分单数链接。

We generalize the notion of the quandle polynomial to the case of singquandles. We show that the singquandle polynomial is an invariant of finite singquandles. We also construct a singular link invariant from the singquandle polynomial and show that this new singular link invariant generalizes the singquandle counting invariant. In particular, using the new polynomial invariant, we can distinguish singular links with the same singquandle counting invariant.

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