论文标题
$ g $ -Alexander Biquandles和$ g $ -Alexander多种结合Biquandles的Cocycles
Cocycles of $G$-Alexander biquandles and $G$-Alexander multiple conjugation biquandles
论文作者
论文摘要
双方和多个共轭偶像是代数，与$ 3 $ - 空间的链接和处理机构链接有关。它们的同伴可用于构建链接和句柄链接的状态和链接状态类型不变性。在本文中，我们讨论了某种类别的双重Quandles和多个共轭双Quandles的Cocycles，我们称之为$ G $ -Alexander Biquandles和$ G $ -G $ -Alexander多重共轭Biquandles，与团体Cocycles有关系。我们提供了一种方法，可以从组中获得（生物Quandle或多个共轭偶联）共同体。
Biquandles and multiple conjugation biquandles are algebras which are related to links and handlebody-links in $3$-space. Cocycles of them 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 call $G$-Alexander biquandles and $G$-Alexander multiple conjugation biquandles, with a relationship with group cocycles. We give a method to obtain a (biquandle or multiple conjugation biquandle) cocycle of them from a group cocycle.
