Hiroshi Goda, Teruaki Kitano, Takayuki Morifuji
Abstract
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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.
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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.
Key concepts: Fibered knot, Alexander polynomial, Torsion (gastropod), Mathematics, Pure mathematics, Geometry, Physics, Knot theory