We prove that Wada’s twisted Alexander polynomial of a knot group associated to any nonabelian -representation is a polynomial. As a corollary, we show that it is always a monic polynomial of degree for a fibered knot of genus .
Kitano, Teruaki 1 ; Morifuji, Takayuki 2
@article{ASNSP_2005_5_4_1_179_0,
author = {Kitano, Teruaki and Morifuji, Takayuki},
title = {Divisibility of twisted {Alexander} polynomials and fibered knots},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {179--186},
year = {2005},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 4},
number = {1},
mrnumber = {2165406},
zbl = {1117.57004},
language = {en},
url = {https://www.numdam.org/item/ASNSP_2005_5_4_1_179_0/}
}
TY - JOUR AU - Kitano, Teruaki AU - Morifuji, Takayuki TI - Divisibility of twisted Alexander polynomials and fibered knots JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2005 SP - 179 EP - 186 VL - 4 IS - 1 PB - Scuola Normale Superiore, Pisa UR - https://www.numdam.org/item/ASNSP_2005_5_4_1_179_0/ LA - en ID - ASNSP_2005_5_4_1_179_0 ER -
%0 Journal Article %A Kitano, Teruaki %A Morifuji, Takayuki %T Divisibility of twisted Alexander polynomials and fibered knots %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2005 %P 179-186 %V 4 %N 1 %I Scuola Normale Superiore, Pisa %U https://www.numdam.org/item/ASNSP_2005_5_4_1_179_0/ %G en %F ASNSP_2005_5_4_1_179_0
Kitano, Teruaki; Morifuji, Takayuki. Divisibility of twisted Alexander polynomials and fibered knots. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 1, pp. 179-186. https://www.numdam.org/item/ASNSP_2005_5_4_1_179_0/
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