柄体连杆的基本多重共轭句柄

Pub Date : 2021-10-01 DOI:10.2969/jmsj/84308430

Atsushi Ishii

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引用次数: 2

摘要

柄体连杆是嵌入在3球S^3$中的柄体的不相交并。多重共轭堆柄是一种代数系统，其公理由柄体-连杆图的Reidemeister移动导出。本文引入了多共轭群handle的表示概念，并定义了柄体连杆的基本多共轭群handle。我们还看到基本多重共轭纠缠是柄体连杆的不变量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The fundamental multiple conjugation quandle of a handlebody-link

A handlebody-link is a disjoint union of handlebodies embedded in the 3-sphere $S^3$. A multiple conjugation quandle is an algebraic system whose axioms are derived from the Reidemeister moves for handlebody-link diagrams. In this paper, we introduce the notion of a presentation of a multiple conjugation quandle and define the fundamental multiple conjugation quandle of a handlebody-link. We also see that the fundamental multiple conjugation quandle is an invariant of handlebody-links.

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