Abstract

A theorem of Friedl and Vidussi says that any 3-manifold [Formula: see text] and any non-fibered class in [Formula: see text] 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.

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