On a theorem of Friedl and Vidussi

Takayuki Morifuji, Masaaki Suzuki

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number2250085
JournalInternational Journal of Mathematics
Volume33
Issue number13
DOIs
Publication statusPublished - 2022 Nov 1

Keywords

  • finite group
  • non-fibered knot
  • Twisted Alexander polynomial

ASJC Scopus subject areas

  • Mathematics(all)

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