通过四维拓扑研究纽结与链环的交叉数
The crossing numbers of knots and links via 4D topology
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中文总结 AI 辅助
该研究通过四维拓扑将链环交叉数与旋转带状环面纽结的弦指数关联，证明了链环连通和下交叉数的可加性。
中文摘要 AI 辅助
链环（包含纽结）的图示可通过其在四维球中的旋转带状环面纽结的圆形刚性圆盘弦图来刻画，因此链环的交叉数等于其旋转带状环面纽结的弦指数；利用该结果可证明链环在连通和下交叉数的可加性。
英文摘要
The diagrams of links (including knots) are characterized in terms of circular rigid disk-chord diagrams of their spun ribbon torus-links in the 4-sphere. As a result, the crossing numbers of links are equal to the chord indexes of their spun ribbon torus-links. By using this result, additivity on the crossing numbers of links under connected sums can be shown.
