论文标题
沿圆环的打结量分解
Knot quandle decomposition along a torus
论文作者
论文摘要
我们研究了一个结的增强基本原料的结构，其补体包含不可压缩的圆环。我们获得了卫星结的基本问题与其伴侣和模式结的基本问题/群体之间的关系。描述了固体圆环中链接的基本问题，透镜空间中的链接和卫星结中的一般介绍。在本文的最后一部分中，提出了对仿射问题研究的代数方法，并获得了有关亚历山大模块和Quandle着色的一些已知结果。
We study the structure of the augmented fundamental quandle of a knot whose complement contains an incompressible torus. We obtain the relationship between the fundamental quandle of a satellite knot and the fundamental quandles/groups of its companion and pattern knots. General presentations of the fundamental quandles of a link in a solid torus, a link in a lens space and a satellite knot are described. In the last part of the paper, an algebraic approach to the study of affine quandles is presented and some known results about the Alexander module and quandle colorings are obtained.
