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Baskets and fibred links realizing A_n

机译:篮子和纤维链接实现a_n

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摘要

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). (C) 2021 The Author(s). Published by Elsevier B.V.
机译:我们证明了篮子链接,其对称的Seifert形式是基础的简单系数Dynkin图A(n,)的盒式矩阵是Torus链路T(2,N +1)的同位素。另外,我们提供链接的例子,由管道n正跳频频带构成,其最多一次与之交叉的核心曲线,具有对称的Seifert形式与笛卡尔矩阵A(n)的一致性,这不是同位素到T(2,n +1)。 (c)2021提交人。由elsevier b.v出版。

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