无扰动弱可约非极小桥位置

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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