Twisted Alexander polynomials detect fibered 3-manifolds

  title={Twisted Alexander polynomials detect fibered 3-manifolds},
  author={Stefan Friedl and Stefano Vidussi},
  journal={arXiv: Geometric Topology},
A classical result in knot theory says that the Alexander polynomial of a fibered knot is monic and that its degree equals twice the genus of the knot. This result has been generalized by various authors to twisted Alexander polynomials and fibered 3-manifolds. In this paper we show that the conditions on twisted Alexander polynomials are not only necessary but also sufficient for a 3-manifold to be fibered. By previous work of the authors this result implies that if a manifold of the form S^1… Expand

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