Geodesic
Non Abelian Twisted Reidemeister Torsion for Fibered Knots
Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 55-71

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DOI

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.
DOI : 10.4153/CMB-2006-006-0
Mots-clés : 57Q10, 57M27, 57M25, Reidemeister torsion, fibered knots, knot groups, representation space, SU(2), SL2(C), adjoint representation, monodromy 
Dubois, Jérôme. Non Abelian Twisted Reidemeister Torsion for Fibered Knots. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 55-71. doi: 10.4153/CMB-2006-006-0
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     author = {Dubois, J\'er\^ome},
     title = {Non {Abelian} {Twisted} {Reidemeister} {Torsion} for {Fibered} {Knots}},
     journal = {Canadian mathematical bulletin},
     pages = {55--71},
     year = {2006},
     volume = {49},
     number = {1},
     doi = {10.4153/CMB-2006-006-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-006-0/}
}
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