We prove that basket links, whose symmetrized Seifert form is congruent to the Cartan matrix of the simply laced Dynkin diagram $A_n$, are isotopic to the torus link $T(2,n+1)$. In addition, we provide examples of links, constructed by plumbing n positive Hopf bands the core curves of which intersect at most once, with symmetrized Seifert form congruent to the Cartan matrix $A_n$, that are not isotopic to $T(2,n+1)$.

中文翻译：

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实现A _n的篮子和纤维链接

我们证明了篮链接，其对称的塞弗特形式与简单绑扎的Dynkin图的Cartan矩阵一致 ${\mathrm{一种}}_{ñ}$，是圆环链接的同位素 $Ť（2，ñ+\mathrm{1个}）$。此外，我们提供了一些链接示例，这些链接是通过垂直构图的n个正霍普夫带构成的，该正霍普夫带的核心曲线最多相交一次，对称的Seifert形式与Cartan矩阵一致${\mathrm{一种}}_{ñ}$，不是同位素 $Ť（2，ñ+\mathrm{1个}）$。