论文标题
汤普森组的定期链接图的常规同位素类别类别
Regular Isotopy Classes of Link Diagrams From Thompson's Groups
论文作者
论文摘要
2014年，沃恩·琼斯（Vaughan Jones）开发了一种方法来产生汤普森（Thompson）$ f $元素的链接，并表明所有链接都是这样。他还引入了$ f $的亚组$ \ vec {f} $，并从此子组的元素中产生定向链接的方法。 2018年，Valeriano Aiello表明，所有面向的链接均来自该建筑。我们准确地对$ f $产生的那些常规同位素类别类别进行了分类，以及从$ \ vec {f} $引起的那些定期同位素类别类别的定期同位素类别类别，回答了琼斯在2018年问的一个问题。
In 2014, Vaughan Jones developed a method to produce links from elements of Thompson's group $F$, and showed that all links arise this way. He also introduced a subgroup $\vec{F}$ of $F$ and a method to produce oriented links from elements of this subgroup. In 2018, Valeriano Aiello showed that all oriented links arise from this construction. We classify exactly those regular isotopy classes of links that arise from $F$, as well as exactly those regular isotopy classes of oriented links that arise from $\vec{F}$, answering a question asked by Jones in 2018.
