无扰动弱可约非极小桥位置

IF 0.5 4区数学 Q3 MATHEMATICS

Hiroshima Mathematical Journal Pub Date : 2022-01-25 DOI:10.32917/h2022006

Jung Hoon Lee

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引用次数: 0

摘要

如果存在一对相消的桥板，则称结的桥板位置受到扰动。受Jang Kobayashi Ozawa Takao的结允许未受扰动的强不可约非极小桥位置的例子的启发，我们导出了未受扰动弱可约非最小桥位置的实例。此外，还提出了Gordon猜想的一个桥接版本：未受扰动的桥接位置的连通和是未受干扰的。

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Unperturbed weakly reducible non-minimal bridge positions

A bridge position of a knot is said to be perturbed if there exists a cancelling pair of bridge disks. Motivated by the examples of knots admitting unperturbed strongly irreducible non-minimal bridge positions due to Jang-Kobayashi-Ozawa-Takao, we derive examples of unperturbed weakly reducible non-minimal bridge positions. Also, a bridge version of Gordon's Conjecture is proposed: the connected sum of unperturbed bridge positions is unperturbed.

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来源期刊

Hiroshima Mathematical Journal 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.