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Non Abelian Twisted Reidemeister Torsion for Fibered Knots

Published online by Cambridge University Press:  20 November 2018

Jérôme Dubois
Jérôme Dubois*
Affiliation:
Section de Mathématiques, Université de Genève CP 64, 2–4 Rue du Lièvre, CH 1211 Genève 4 Switzerland e-mail: Jerome.Dubois@math.unige.ch
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Abstract

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In this article, we give an explicit formula to compute the non abelian twisted sign-determined 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

57Q1057M2757M25Reidemeister torsionfibered knotsknot groupsrepresentation spaceSU(2)SL2(ℂ)adjoint representationmonodromy
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 1 , 01 March 2006 , pp. 55 - 71
Copyright
Copyright © Canadian Mathematical Society 2006

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