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1
J E Andersen ,
S K Hansen , Asymptotics of
the quantum invariants for surgeries on the figure $8$
knot , J. Knot Theory Ramifications 15 (2006) 479
MR2221531
2
G Burde , H
Zieschang , Knots , de Gruyter Studies in Math. 5, de
Gruyter (1985) MR808776
3
T Dimofte , S
Garoufalidis , The quantum content
of the gluing equations , Geom. Topol. 17 (2013) 1253
MR3073925
4
T Dimofte , S
Gukov , J Lenells , D Zagier , Exact results
for perturbative Chern–Simons theory with complex gauge
group , Commun. Number Theory Phys. 3 (2009) 363
MR2551896
5
J Dubois ,
Computational aspects in Reidemeister torsion and
Chern–Simons theories , from: "Chern–Simons gauge theory: 20
years after" (editors J E Andersen, H U Boden, A
Hahn, B Himpel), AMS/IP Stud. Adv. Math. 50, Amer. Math. Soc.
(2011) 43 MR2809446
6
J Dubois , V
Huynh , Y Yamaguchi , Nonabelian
Reidemeister torsion for twist knots , J. Knot Theory
Ramifications 18 (2009) 303 MR2514847
7
L D Faddeev ,
Discrete
Heisenberg–Weyl group and modular group , Lett. Math.
Phys. 34 (1995) 249 MR1345554
8
L D Faddeev ,
R M Kashaev , A Y Volkov , Strongly coupled
quantum discrete Liouville theory, I: Algebraic approach and
duality , Comm. Math. Phys. 219 (2001) 199 MR1828812
9
S Gukov , Three-dimensional
quantum gravity, Chern–Simons theory, and the
$A$–polynomial , Comm. Math. Phys. 255 (2005) 577
MR2134725
10
S Gukov , H
Murakami , $\mathrm{SL}(2,\mathbb{C})$
Chern–Simons theory and the asymptotic behavior of the colored
Jones polynomial , Lett. Math. Phys. 86 (2008) 79
MR2465747
11
R M Kashaev ,
Quantum
dilogarithm as a $6j$–symbol , Modern Phys. Lett. A 9
(1994) 3757 MR1317945
12
R M Kashaev ,
A link
invariant from quantum dilogarithm , Modern Phys. Lett.
A 10 (1995) 1409 MR1341338
13
R M Kashaev ,
The
hyperbolic volume of knots from the quantum
dilogarithm , Lett. Math. Phys. 39 (1997) 269 MR1434238
14
H Murakami ,
The
coloured Jones polynomial, the Chern–Simons invariant and the
Reidemeister torsion of the figure-eight knot , J.
Topol. 6 (2013) 193 MR3029425
15
H Murakami , J
Murakami , The colored Jones
polynomials and the simplicial volume of a knot , Acta
Math. 186 (2001) 85 MR1828373
16
H Murakami , J
Murakami , M Okamoto , T Takata , Y
Yokota , Kashaev's
conjecture and the Chern–Simons invariants of knots and
links , Experiment. Math. 11 (2002) 427 MR1959752
17
T Ohtsuki , On
the asymptotic expansion of the Kashaev invariant of the $5_2$
knot , preprint
18
T Ohtsuki , On the
asymptotic expansion of the Kashaev invariant of the hyperbolic
knots with $7$ crossings , in preparation
19
T Ohtsuki , R
Riley , M Sakuma , Epimorphisms
between $2$–bridge link groups , from: "The Zieschang
Gedenkschrift" (editors M Boileau, M Scharlemann, R Weidmann),
Geom. Topol. Monogr. 14 (2008) 417 MR2484712
20
T Ohtsuki , Y
Yokota , On the asymptotic expansion of the Kashaev
invariant of the knots with $6$ crossings , preprint
21
R Riley , Parabolic
representations of knot groups, I , Proc. London Math.
Soc. 24 (1972) 217 MR0300267
22
R Riley , Nonabelian
representations of $2$–bridge knot groups , Quart. J.
Math. Oxford Ser. 35 (1984) 191 MR745421
23
R Riley , Algebra for Heckoid
groups , Trans. Amer. Math. Soc. 334 (1992) 389 MR1107029
24
M Sakuma , J
Weeks , Examples of canonical decompositions of
hyperbolic link complements , Japan. J. Math. 21 (1995) 393
MR1364387
25
D P Thurston ,
Hyperbolic
volume and the Jones polynomial
26
A T Tran ,
Twisted Alexander
polynomials with the adjoint action for some classes of
knots , J. Knot Theory Ramifications 23 (2014) MR3277960
27
V G Turaev ,
Reidemeister torsion in knot theory , Uspekhi Mat. Nauk
41 (1986) 97, 240 MR832411
28
E Witten , Quantum field
theory and the Jones polynomial , Comm. Math. Phys. 121
(1989) 351 MR990772
29
E Witten , Analytic
continuation of Chern–Simons theory , from: "Chern–Simons
gauge theory: 20 years after" (editors J E Andersen,
H U Boden, A Hahn, B Himpel), AMS/IP Stud. Adv. Math. 50,
Amer. Math. Soc. (2011) 347 MR2809462
30
S L Woronowicz ,
Quantum
exponential function , Rev. Math. Phys. 12 (2000) 873
MR1770545
31
Y Yokota , On the
volume conjecture for hyperbolic knots , arXiv:math.QA/0009165
32
Y Yokota , From the Jones
polynomial to the $A$–polynomial of hyperbolic knots ,
from: "Proceedings of the Winter Workshop of Topology/Workshop
of Topology and Computer", Interdiscip. Inform. Sci. 9 (2003)
11 MR2023102
33
D Zagier , Quantum
modular forms , from: "Quanta of maths" (editors E
Blanchard, D Ellwood, M Khalkhali, M Marcolli, S Popa), Clay
Math. Proc. 11, Amer. Math. Soc. (2010) 659 MR2757599