论文标题

不受干扰的弱还原的非最低桥梁位置

Unperturbed weakly reducible non-minimal bridge positions

论文作者

Lee, Jung Hoon

论文摘要

如果存在一对取消的桥盘,则据说结的桥梁位置会受到干扰。由结的示例的激励,因为jang-kobayashi-ozawa-takao不可扰动的强烈不可还原的非最低桥梁位置,我们得出了不受干扰的弱还原的非最低桥梁位置的例子。此外,提出了戈登猜想的桥梁版本:不受干扰的桥梁位置的连接总和不受干扰。

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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