On the asymptotic expansion of the colored Jones polynomial for torus knots

For any torus knot we show that the residue of the abelian Reidemeister torsion of its exterior at a bifurcation point of the SL(2,C)-representation variety of the knot group is essentially the corresponding limit value of the non abelian Reidemeister torsion. We use this result to identify different geometric contributions... Show more