Polynomial invariants and quandles of twisted links
Polynomial invariants and quandles of twisted links
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DOI：
10.1016/j.topol.2011.11.024
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发表时间：
2012-03
影响因子：
0.6
通讯作者：
Naoko Kamada
中科院分区：
文献类型：
--
作者：
Naoko Kamada
布尔贡定义了一个扭曲的链接，对应于一个稳定的等价类链接定向加厚的概念。它是虚链路的推广。将虚链路的一些不变量推广到扭链路，包括纽结群和琼斯多项式。本文将虚链路的多变量多项式不变量推广到扭链路。我们还介绍了一个quandle的一个扭曲的链接。
Bourgoin defined the notion of a twisted link which corresponds to a stable equivalence class of links in oriented thickenings. It is a generalization of a virtual link. Some invariants of virtual links are extended for twisted links including the knot group and the Jones polynomial. In this paper, we generalize a multivariable polynomial invariant of a virtual link to a twisted link. We also introduce a quandle of a twisted link.