TY - JOUR
T1 - Twisted Alexander polynomials of twist knots for nonabelian representations
AU - Morifuji, Takayuki
N1 - Funding Information:
The author would like to thank Doctor Yoshikazu Yamaguchi for showing him an earlier version of their article [4]. This research is supported in part by the Grant-in-Aid for Scientific Research (No. 17740032), the Ministry of Education, Culture, Sports, Science and Technology, Japan.
PY - 2008/7
Y1 - 2008/7
N2 - In this paper, we describe the twisted Alexander polynomial of twist knots for nonabelian SL (2, C)-representations and investigate in detail the coefficient of the highest degree term as a function on the representation space of the knot group. In particular, we introduce the notion of monic representation and discuss its relation to the fiberedness of knots.
AB - In this paper, we describe the twisted Alexander polynomial of twist knots for nonabelian SL (2, C)-representations and investigate in detail the coefficient of the highest degree term as a function on the representation space of the knot group. In particular, we introduce the notion of monic representation and discuss its relation to the fiberedness of knots.
KW - Representation space
KW - Twist knot
KW - Twisted Alexander polynomial
UR - http://www.scopus.com/inward/record.url?scp=44649140329&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=44649140329&partnerID=8YFLogxK
U2 - 10.1016/j.bulsci.2008.04.001
DO - 10.1016/j.bulsci.2008.04.001
M3 - Article
AN - SCOPUS:44649140329
SN - 0007-4497
VL - 132
SP - 439
EP - 453
JO - Bulletin des Sciences Mathematiques
JF - Bulletin des Sciences Mathematiques
IS - 5
ER -