Higher dimensional twisted Alexander polynomials for metabelian representations

作者：Tran Anh T; Yamaguchi Yoshikazu^*

来源：Topology and Its Applications, 2017, 229: 42-54.

DOI：10.1016/j.topol.2017.07.003

• Asymptotic behavior
• Twisted Alexander polynomial
• Metabelian representation
• Reidemeister torsion

We study the asymptotic behavior of the twisted Alexander polynomial for the sequence of SLn(C)-representations induced by an irreducible metabelian SL2 (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.

• 出版日期2017-9-15