TY - JOUR
T1 - The twisted Reidemeister torsion of an iterated torus knot
AU - Murakami, Hitoshi
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Numbers 26400079, 17K05239.
Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2019/4/15
Y1 - 2019/4/15
N2 - We calculate the twisted Reidemeister torsion of the complement of an iterated torus knot associated with a representation of its fundamental group to the complex special linear group of degree two. We also show that the twisted Reidemeister torsions associated with various representations appear in the asymptotic expansion of the colored Jones polynomial.
AB - We calculate the twisted Reidemeister torsion of the complement of an iterated torus knot associated with a representation of its fundamental group to the complex special linear group of degree two. We also show that the twisted Reidemeister torsions associated with various representations appear in the asymptotic expansion of the colored Jones polynomial.
KW - Chern–Simons invariant
KW - Colored Jones polynomial
KW - Iterated torus knot
KW - Reidemeister torsion
KW - Volume conjecture
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U2 - 10.1016/j.topol.2019.02.012
DO - 10.1016/j.topol.2019.02.012
M3 - Article
AN - SCOPUS:85062012778
VL - 257
SP - 22
EP - 66
JO - Topology and its Applications
JF - Topology and its Applications
SN - 0166-8641
ER -