The asymptotics of the higher dimensional Reidemeister torsion for exceptional surgeries along twist knots
arXiv:1607.06628
Abstract
We determine the asymptotic behavior of the higher dimensional Reidemeister torsion for the graph manifolds obtained by exceptional surgeries along twist knots. We show that all irreducible SL(2;C)-representations of the graph manifold are induced by irreducible metabelian representations of the twist knot group. We also give the set of the limits of the leading coefficients in the higher dimensional Reidemeister torsion explicitly.
11 pages, 2 figures, V2: title changed, exposition improved, typos corrected, references added, the last section in the previous version and the related reference were removed