Higher dimensional twisted Alexander polynomials for metabelian representations

Research paper by Anh T. Tran, Yoshikazu Yamaguchi

Indexed on: 19 Aug '16Published on: 19 Aug '16Published in: arXiv - Mathematics - Geometric Topology


We study the asymptotic behavior of the twisted Alexander polynomial for the sequence of SL(n ,C)-representations induced from an irreducible metabelian SL(2, C)-representation of a knot group. We give the limits of the leading coefficients in the asymptotics of the twisted Alexander polynomial and related Reidemeister torsion. The concrete computations for all genus one two-bridge knots are also presented.