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arXiv 2201.10153math.GT
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未扰动弱可约非极小桥位置

Unperturbed weakly reducible non-minimal bridge positions

Jung Hoon Lee

摘要:

如果存在一对相互抵消的桥盘,则称纽结的桥位扰动。由于Jang-Kobayashi-Ozawa-Takao的例子,我们得到了未扰动的弱可约的非最小桥位置的例子。另外,还提出了戈登猜想的一个桥版本:未扰动桥位置的连通和是未扰动的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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