Salem-Boyd sequences and Hopf plumbing
Salem-Boyd sequences and Hopf plumbing
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Salem-Boyd 序列和 Hopf 管道
DOI：
10.18910/8978
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发表时间：
2005
影响因子：
0.4
通讯作者：
E. Hironaka
中科院分区：
文献类型：
--
作者：
E. Hironaka
给定一个纤维链环，考虑限制于第一同调的单值性的特征多项式。这推广了纽结的亚历山大多项式的概念。我们定义了一个构造，称为迭代管道，从给定的一个创建一个纤维链接序列。由此产生的序列的特征多项式为这些环节有相同的形式所产生的工作塞勒姆和博伊德在他们的研究分布塞勒姆和P-V数。由此我们推导出广义亚历山大多项式的大根的渐近行为的信息，并定义了一个新的偏序集结构的Salem纤维链接。
Given a fibered link, consider the characteristic polynomial of the monodromy restricted to first homology. This generalizes the notion of the Alexander polynomial of a knot. We define a construction, called iterated plumbing, to create a sequence of fibered links from a given one. The resulting sequence of characteristic polynomials for these links has the same form as those arising in work of Salem and Boyd in their study of distributions of Salem and P-V numbers. From this we deduce information about the asymptotic behavior of the large roots of the generalized Alexander polynomials, and define a new poset structure for Salem fibered links.