The fundamental multiple conjugation quandle of a handlebody-link

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2021-10-01 DOI:10.2969/jmsj/84308430

Atsushi Ishii

引用次数: 2

Abstract

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.

查看原文本刊更多论文

柄体连杆的基本多重共轭句柄

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。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).