柄体结的亚历山大多项式的不变量

IF 0.5 4区数学 Q3 MATHEMATICS Osaka Journal of Mathematics Pub Date : 2020-07-01 DOI:10.18910/76683

S. Okazaki

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引用次数: 2

摘要

手柄本体结是嵌入在3球体中的手柄本体。我们引入了由亚历山大多项式导出的手柄体结的不变量。不变量的值是一个顶点加权图。作为一个应用，我们描述了把手结是不可约的一个充分条件和一个环节是把手结的组成环节的一个必要条件。

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AN INVARIANT DERIVED FROM THE ALEXANDER POLYNOMIAL FOR HANDLEBODY-KNOTS

A handlebody-knot is a handlebody embedded in the 3-sphere. We introduce an invariant for handlebody-knots derived from their Alexander polynomials. The value of the invariant is a vertex-weighted graph. As an application, we describe a sufficient condition for a handlebody-knot to be irreducible and a necessary condition for a link to be a constituent link of a handlebody-knot.

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.