论文标题
链接的n- Quandles
N-quandles of links
论文作者
论文摘要
基本的争议是结和链接的强大不变，但很难详细描述。查看困境的商，尤其是有限的商通常很有用。乔伊斯（Joyce）介绍的一个自然商是$ n $ Quandle。 Hoste和Shanahan提供了有限的$ n $ Quandles的打结和链接列表。我们引入了$ n $ Quandles的概括，表示为$ n $ Quandles（对于具有$ k $ $ $代数组件的难题，$ n $是$ k $ - $ k $ - $ k $ tuple of正整数）。我们猜想了一些$ n $的有限$ n $ quandles的链接分类，我们证明了分类的一个方向。
The fundamental quandle is a powerful invariant of knots and links, but it is difficult to describe in detail. It is often useful to look at quotients of the quandle, especially finite quotients. One natural quotient introduced by Joyce is the $n$-quandle. Hoste and Shanahan gave a complete list of the knots and links which have finite $n$-quandles for some $n$. We introduce a generalization of $n$-quandles, denoted $N$-quandles (for a quandle with $k$ algebraic components, $N$ is a $k$-tuple of positive integers). We conjecture a classification of the links with finite $N$-quandles for some $N$, and we prove one direction of the classification.
