3 papers
math.GT2007
Non-abelian Reidemeister torsion for twist knots
Jérôme Dubois, Vu Huynh, Yoshikazu Yamaguchi
This paper gives an explicit formula for the SL_2(C)-non-abelian Reidemeister torsion as defined in [Dub06] in the case of twist knots. For hyperbolic twist knots, we also prove th…
math.GT2004
Non abelian Reidemeister torsion and volume form on the SU(2)-representation space of knot groups
Jérôme Dubois
For a knot K in and a regular representation of its group into SU(2) we construct a non abelian Reidemeister torsion on the first twisted cohomology group of the kn…
math.GT2004
Non abelian twisted Reidemeister torsion for fibered knots
Jérôme Dubois
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…