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Non Abelian Twisted Reidemeister Torsion for Fibered Knots

  Published:2006-03-01
 Printed: Mar 2006
  • Jérôme Dubois
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Abstract

In this article, we give an explicit formula to compute the non abelian twisted sign-deter\-mined Reidemeister torsion of the exterior of a fibered knot in terms of its monodromy. As an application, we give explicit formulae for the non abelian Reidemeister torsion of torus knots and of the figure eight knot.
Keywords: Reidemeister torsion, Fibered knots, Knot groups, Representation space, $\SU$, $\SL$, Adjoint representation, Monodromy Reidemeister torsion, Fibered knots, Knot groups, Representation space, $\SU$, $\SL$, Adjoint representation, Monodromy
MSC Classifications: 57Q10, 57M27, 57M25 show english descriptions Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28]
Invariants of knots and 3-manifolds
Knots and links in $S^3$ {For higher dimensions, see 57Q45}
57Q10 - Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28]
57M27 - Invariants of knots and 3-manifolds
57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45}
 

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