TY - JOUR
T1 - Higher dimensional twisted Alexander polynomials for metabelian representations
AU - Tran, Anh T.
AU - Yamaguchi, Yoshikazu
N1 - Funding Information:
The authors wish to express their thanks to the referee for his/her helpful comments. The first author was partially supported by a grant from the Simons Foundation (#354595 to AT). The second author was supported by JSPS KAKENHI Grant Numbers JP26800030, JP17K05240.
Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2017/9/15
Y1 - 2017/9/15
N2 - 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.
AB - 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.
KW - Asymptotic behavior
KW - Metabelian representation
KW - Reidemeister torsion
KW - Twisted Alexander polynomial
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U2 - 10.1016/j.topol.2017.07.003
DO - 10.1016/j.topol.2017.07.003
M3 - Article
AN - SCOPUS:85025433969
SN - 0166-8641
VL - 229
SP - 42
EP - 54
JO - Topology and its Applications
JF - Topology and its Applications
ER -