Cocycles of G-Alexander biquandles and G-Alexander multiple conjugation biquandles
Cocycles of G-Alexander biquandles and G-Alexander multiple conjugation biquandles
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G-Alexander 双分位数和 G-Alexander 多重共轭双分位数的余循环
DOI：
10.1016/j.topol.2020.107512
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发表时间：
2021
影响因子：
0.6
通讯作者：
Oshiro Kanako
中科院分区：
文献类型：
--
作者：
Ishii Atsushi;Iwakiri Masahide;Kamada Seiichi;Kim Jieon;Matsuzaki Shosaku;Oshiro Kanako
双四边形和多重共轭双四边形是与三维空间中的链和链体-链有关的代数。利用双量子线和多重共轭量子线的余圈可以构造链和链体的状态和型不变量。本文讨论了一类双量子点和多重共轭双量子点的上圈，称之为G-Alexander双量子点和G-Alexander多重共轭双量子点，并讨论了它们与群上圈的关系.本文给出了从群上圈得到（二重或多重共轭二重）上圈的一种方法。
Biquandles and multiple conjugation biquandles are algebras which are related to links and handlebody-links in 3-space. Cocycles of biquandles and multiple conjugation quandles can be used to construct state-sum type invariants of links and handlebody-links. In this paper we discuss cocycles of a certain class of biquandles and multiple conjugation biquandles, which we callG-Alexander biquandles andG-Alexander multiple conjugation biquandles, with a relationship with group cocycles. We give a method to obtain a (biquandle or multiple conjugation biquandle) cocycle from a group cocycle.