Reidemeister torsion for linear representations and Seifert surgery on knots

@article{Kitayama2008ReidemeisterTF,
  title={Reidemeister torsion for linear representations and Seifert surgery on knots},
  author={T. Kitayama},
  journal={Topology and its Applications},
  year={2008},
  volume={156},
  pages={2496-2503}
}
  • T. Kitayama
  • Published 2008
  • Mathematics
  • Topology and its Applications
Abstract We study an invariant of a 3-manifold which consists of Reidemeister torsion for linear representations which pass through a finite group. We show a Dehn surgery formula on this invariant and compute that of a Seifert manifold over S 2 . As a consequence we obtain a necessary condition for a result of Dehn surgery along a knot to be Seifert fibered, which can be applied even in a case where abelian Reidemeister torsion gives no information. 

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