We prove that the signature bound for the topological 4‐genus of 3‐strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4‐strand and 6‐strand torus knots, and improve the upper bound on the asymptotic ratio between the topological 4‐genus and the Seifert genus of torus knots from 2/3 to 14/27.

中文翻译：

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解开三链环结

我们使用麦考伊（McCoy）的扭曲方法证明了3股环结的拓扑4属的签名是清晰的。我们还表明，对于4股和6股圆环结，边界最多偏移1，并将拓扑4属和Seifert属之间的渐近比的渐近比上限从2/3提高到3。 14/27。