扭曲的亚历山大多项式的丝带2-结1-融合

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2020-10-01 DOI:10.18910/77230

T. Kanenobu, Toshio Sumi

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引用次数: 3

摘要

扭曲亚历山大多项式被定义为有理函数，不一定是多项式。证明了对于带状2结，与结群的不可约表示SL(2, F)相关联的扭曲Alexander多项式始终是多项式。此外，1融合2结纤维带的扭曲Alexander多项式具有最低和最高度系数1，其宽度为2 m−2，其中m为其Alexander多项式的宽度。

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Twisted alexander polynomial of a ribbon 2-knot of 1-fusion

The twisted Alexander polynomial is deﬁned as a rational function, not necessarily a polynomial. It is shown that for a ribbon 2-knot, the twisted Alexander polynomial associated to an irreducible representation of the knot group to SL(2 , F ) is always a polynomial. Further-more, the twisted Alexander polynomial of a ﬁbered ribbon 2-knot of 1-fusion has the lowest and highest degree coe ﬃ cients 1 with breadth 2 m − 2, where m is the breadth of its Alexander polynomial.

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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.