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linking number

环绕数

本站译名 几何拓扑与低维拓扑 义项编号TS-2238

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Mathematical Physics: Classical Mechanics 封面

《Mathematical Physics: Classical Mechanics》 · 第 11 页 · Chapter 1,Definition 1.4 及正交叉的约定

A positive crossing shows one strand (either one) passing the other in the manner of a “right-hand screw”. […] Suppose that \(L\) is a two-component oriented link with components \(L_1\) and \(L_2\). The linking number \(\operatorname{lk}(L_1,L_2)\) of \(L_1\) and \(L_2\) is half the sum of the signs, in a diagram for \(L\), of the crossings at which one strand is from \(L_1\) and the other is from \(L_2\).

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