论文标题

打结预测上的32个等效关系

Thirty-two equivalence relations on knot projections

论文作者

Ito, Noboru, Takimura, Yusuke

论文摘要

我们考虑结构的32个平均分类(从圆向2个球体中的通用浸入图像)。这32个等价关系是根据在五种类型的雷迪德举动中禁止的移动获得的。我们表明,有32例相互不同的案例包含20例非平凡病例。为了完成证明,我们获得了新工具,即新的不变性。

We consider 32 homotopy classifications of knot projections (images of generic immersions from a circle into a 2-sphere). These 32 equivalence relations are obtained based on which moves are forbidden among the five type of Reidemeister moves. We show that 32 cases contain 20 non-trivial cases that are mutually different. To complete the proof, we obtain new tools, i.e., new invariants.

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