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torus link

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本站译名 几何拓扑与低维拓扑 义项编号TS-2269

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Chromatic Homotopy Theory Jacob Lurie

《Chromatic Homotopy Theory》 · 第 351 页 · Section 11.2.5,Torus knots(本书包含互素参数的单分量情形)

Consider the standardly embedded torus \(T\subset S^3\) with meridian \(m\) and longitude \(l\) oriented as in Figure 11.6. A pair \((p,q)\) of coprime integers determines a simple closed curve in \(T\) that is homologically \(qm+pl\), and such a curve is called a \((p,q)\)-torus knot. More generally, a pair of integers \((a,b)\) determines a multicurve in \(T\) that is homologically \(bm+al\), called an \((a,b)\)-torus link.

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