Reidemeister torsion, twisted Alexander polynomial and fibered knots

• Autores: Goda Hiroshi, Teruaki Kitano, Takayuri Morifuji
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 80, Nº 1, 2005, págs. 51-61
• Idioma: inglés
• DOI: 10.4171/cmh/3
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• Resumen

  • As a generalization of a classical result on the Alexander polynomial for fibered knots, we show in this paper that the Reidemeister torsion associated to a certain representation detects fiberedness of knots in the three sphere.