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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
 MSC Classifications: 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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