带型2节一族的平凡Alexander多项式分类

IF 0.5 Q3 MATHEMATICS

Communications of the Korean Mathematical Society Pub Date : 2018-01-01 DOI:10.4134/CKMS.C170222

T. Kanenobu, Toshio Sumi

引用次数: 5

摘要

我们考虑一类具有平凡亚历山大多项式的2结带族。我们从这些结的群中给出非abel的SL(2, C)-表示，然后计算与这些表示相关的扭曲亚历山大多项式，这使我们能够对这类结进行分类。

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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Classification of a family of ribbon 2-knots with trivial Alexander polynomial

We consider a family of ribbon 2-knots with trivial Alexander polynomial. We give nonabelian SL(2, C)-representations from the groups of these knots, and then calculate the twisted Alexander polynomials associated to these representations, which allows us to classify this family of knots.

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来源期刊

Communications of the Korean Mathematical Society MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： This journal endeavors to publish significant research and survey of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of four issues (January, April, July, October).