论文标题

交叉盖号码和打结预测

Crosscap number and knot projections

论文作者

Ito, Noboru, Takimura, Yusuke

论文摘要

我们介绍了一个打结型的打结投影,这给出了交叉盖子的上限。我们最多可以用未结式型数来确定结的集合,这意味着最多可以用交叉盖号码来确定一组交替结的经典和新结果。

We introduce an unknotting-type number of knot projections that gives an upper bound of the crosscap number of knots. We determine the set of knot projections with the unknotting-type number at most two, and this result implies classical and new results that determine the set of alternating knots with the crosscap number at most two.

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