Higher dimensional twisted Alexander polynomials for metabelian representations

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.

12 pages, 1 figure

References in corpus (2)

• Twisted Alexander polynomials of 2-bridge knots associated to metacyclic representations
• The asymptotics of the higher dimensional Reidemeister torsion for exceptional surgeries along twist knots

Cited by in corpus (1)

• The asymptotics of the higher dimensional Reidemeister torsion for exceptional surgeries along twist knots