A theorem of Friedl and Vidussi says that any 3-manifold N and any non-fibered class in H1(N;Z) there 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.
|ジャーナル||International Journal of Mathematics|
|出版ステータス||Published - 2022 11月 1|
ASJC Scopus subject areas
- 数学 (全般)