2000 character limit reached
Higher dimensional twisted Alexander polynomials for metabelian representations (1608.05525v1)
Published 19 Aug 2016 in math.GT
Abstract: 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.