On a theorem of Friedl and Vidussi
On a theorem of Friedl and Vidussi
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关于 Friedl 和 Vidussi 定理
DOI：
10.1142/s0129167x22500859
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发表时间：
2022
影响因子：
0.6
通讯作者：
Takayuki Morifuji and Masaaki Suzuki
中科院分区：
文献类型：
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作者：
Takayuki Morifuji and Masaaki Suzuki
Friedl和Vidussi的一个定理说，任何3-流形和任何非纤维类存在一个表示，使得相应的扭曲亚历山大多项式为零。然而，迄今为止，似乎还没有这种代表性的具体例子。本文给出了非纤维纽结的几个显式例子及其零扭亚历山大多项式表示。
A theorem of Friedl and Vidussi says that any 3-manifoldand any non-fibered class inthere exists a representation such that the corresponding twisted Alexander polynomial is zero. However, it seems that no concrete example of such a representation is known so far. In this paper, we provide several explicit examples of non-fibered knots and their representations with zero twisted Alexander polynomial.