论文标题
篮子和纤维链接实现$ a_ {n} $
Baskets and fibred links realizing $A_{n}$
论文作者
论文摘要
我们证明，篮子链接的对称的Seifert形式与简单的Dynkin图$ A_ {N} $的Cartan矩阵一致，是Torus link $ t $ t（2，n+1）$的同位素。此外，我们还提供了链接的示例，通过管道$ n $阳性霍夫频段构建，最多一次相交的核心曲线，与cartan矩阵$ a_ {n} $一致的对称的seifert形式，它与$ t（2，n+1）$不符合同位素。
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 $T(2,n+1)$.
