A multiple conjugation quandle and handlebody-knots
A multiple conjugation quandle and handlebody-knots
复制标题
多重共轭问题和手柄结
DOI：
10.1016/j.topol.2015.05.029
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Atsushi Ishii
中科院分区：
文献类型：
--
作者：
Scott Carter;Atsushi Ishii;Masahico Saito;Kokoro Tanaka;南 範彦;矢ヶ崎達彦;Atsushi Ishii;南 範彦;南 範彦;矢ヶ崎達彦;Atsushi Ishii
引入了多重共轭纠缠的概念，并给出了若干例子。一种多重共轭聚束具有基团和聚束的混合结构。从柄体-结的着色角度来看，我们看到多重共轭纠缠的公理是自然的，其中柄体-结是嵌入在3球中的柄体。多重共轭纠缠不仅用于定义柄体结的着色，而且还提供了在某种意义上定义纠缠着色不变量的通用结构。
We introduce a notion of multiple conjugation quandles and give some examples of it. A multiple conjugation quandle has a mixed structure of a group and a quandle. We see that the axioms of a multiple conjugation quandle are natural from the point of view of colorings for handlebody-knots, where a handlebody-knot is a handlebody embedded in the 3-sphere. A multiple conjugation quandle is not only used to define a coloring for handlebody-knots but also to provide a universal structure to define a quandle coloring invariant in a sense.