论文标题

RNA折叠,定向卡住的结和状态和不变

RNA foldings, Oriented Stuck Knots and State Sum Invariants

论文作者

Ceniceros, Jose, Elhamdadi, Mohamed, Magill, Brendan, Rosario, Gabriana

论文摘要

我们将Quandle Cocycle不变式扩展到卡住链接的上下文。更确切地说,我们通过在古典和卡住的交叉点上分配玻尔兹曼的权重来定义一个不变的链接。作为一个应用程序,我们定义了单个可变链接的单变量和两变量的多项式不变。此外,我们定义了RNA折叠的弧形图的单个可变和两变量多项式不变。我们提供新不变的明确计算。

We extend the quandle cocycle invariant to the context of stuck links. More precisely, we define an invariant of stuck links by assigning Boltzmann weights at both classical and stuck crossings. As an application, we define a single-variable and a two-variable polynomial invariant of stuck links. Furthermore, we define a single-variable and two-variable polynomial invariant of arc diagrams of RNA foldings. We provide explicit computations of the new invariants.

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