论文标题
Cocycle不变性和定向的单数结
Cocycle Invariants and Oriented Singular Knots
论文作者
论文摘要
我们使用称为\ emph {定向的单Quandles}的代数结构将Quandle Cocycle不变性扩展到定向的单数结和链接，并在常规和单数交叉处分配重量函数。这种不变的与经典结的经典杂种不变式相吻合，但提供了有关奇异结和链接的额外信息。新的不变式将奇异的奶奶结与单一的正方形结区别了。
We extend the quandle cocycle invariant to oriented singular knots and links using algebraic structures called \emph{oriented singquandles} and assigning weight functions at both regular and singular crossings. This invariant coincides with the classical cocycle invariant for classical knots but provides extra information about singular knots and links. The new invariant distinguishes the singular granny knot from the singular square knot.
