论文标题
Habegger-Lin在字符串链接上的动作的悬崖演示
Clasper presentations of Habegger-Lin's action on string links
论文作者
论文摘要
Habegger和Lin将链接的链接 - hmotopy类别分类为字符串链接的链接 - 共态类，以模拟字符串链接的共轭和部分共轭的动作。在本文中，我们针对4和5组件的字符串链接明确计算了部分共轭的动作和共轭的作用，这些链接给出了4和5组件链接的链接 - 共态类别的分类（演示）。作为一个应用程序，我们可以运行Habegger和Lin的算法，该算法确定给定的两个链接是否为4个和5组件链接。
Habegger and Lin gave a classification of the link-hmotopy classes of links as the link-homotopy classes of string links modulo the actions of conjugations and partial conjugations for string links. In this paper, we calculated the actions of the partial conjugations and the conjugations explicitly for 4- and 5-component string links which gave classifications (presentations) of the link-homotopy classes of 4- and 5-component links. As an application, we can run Habegger and Lin's algorithm which determines whether given two links are link-homotopoic or not for 4- and 5-component links.
