On a theorem of Friedl and Vidussi

Takayuki Morifuji; Masaaki Suzuki

doi:10.1142/S0129167X22500859

On a theorem of Friedl and Vidussi

Takayuki Morifuji, Masaaki Suzuki

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Article number	2250085
Journal	International Journal of Mathematics
Volume	33
Issue number	13
DOIs	https://doi.org/10.1142/S0129167X22500859
Publication status	Published - 2022 Nov 1

Keywords

Twisted Alexander polynomial
finite group
non-fibered knot

ASJC Scopus subject areas

Mathematics(all)

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10.1142/S0129167X22500859

Cite this

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AB - 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.

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On a theorem of Friedl and Vidussi

Abstract

Keywords

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