论文标题
链接搜索的有序性
Orderability of link quandles
论文作者
论文摘要
该论文开发了一个通讯性的一般理论理论，重点是驯服链接的链接，并提供了一些有序难民的一般结构。我们证明，许多纤维结的结节是正确的，而大多数非平凡的圆环链接的链接群都不是正确的。结果，我们推断出Trefoil的打结既不是左而订购的。此外，事实证明，某些非平凡的正（或负）链接的链接难以行为，其中包括一些主要的决定因素和交替的Montesinos链接的交替结。该论文还探讨了难题与其包裹组的订购性之间的互连。结果证明，链接问题的有序性与相应的链接组的行为不同。
The paper develops a general theory of orderability of quandles with a focus on link quandles of tame links and gives some general constructions of orderable quandles. We prove that knot quandles of many fibered prime knots are right-orderable, whereas link quandles of most non-trivial torus links are not right-orderable. As a consequence, we deduce that the knot quandle of the trefoil is neither left nor right orderable. Further, it is proved that link quandles of certain non-trivial positive (or negative) links are not bi-orderable, which includes some alternating knots of prime determinant and alternating Montesinos links. The paper also explores interconnections between orderability of quandles and that of their enveloping groups. The results establish that orderability of link quandles behave quite differently than that of corresponding link groups.
