Higher dimensional twisted Alexander polynomials for metabelian representations

Anh T. Tran; Yoshikazu Yamaguchi

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arXiv · 1608.05525

Higher dimensional twisted Alexander polynomials for metabelian representations

Anh T. Tran·Yoshikazu Yamaguchi

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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.

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BibTeX RIS

Anh T. Tran, Yoshikazu Yamaguchi. 2016-08-19. Higher dimensional twisted Alexander polynomials for metabelian representations. https://arxiv.org/abs/1608.05525

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