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1
Y Akutsu , T
Deguchi , T Ohtsuki , Invariants of
colored links , J. Knot Theory Ramifications 1 (1992)
161 MR1164114
2
S Baseilhac , R
Benedetti , Quantum
hyperbolic invariants of $3$–manifolds with
$\mathrm{PSL}(2,\mathbb C)$–characters , Topology 43
(2004) 1373 MR2081430
3
S Baseilhac , R
Benedetti , Quantum hyperbolic
geometry , Algebr. Geom. Topol. 7 (2007) 845 MR2336244
4
J Bichon , Cosovereign
Hopf algebras , J. Pure Appl. Algebra 157 (2001) 121
MR1812048
5
R Brown , Groupoids and van
Kampen's theorem , Proc. London Math. Soc. 17 (1967) 385
MR0220279
6
V Chari , A
Pressley , A guide to quantum groups , Cambridge Univ.
Press (1994) MR1300632
7
F Costantino , N
Geer , B Patureau-Mirand , Quantum invariants of
$3$–manifolds via link surgery presentations and
non-semi-simple categories arXiv:1202.3553
8
C De Concini ,
V G Kac , Representations of quantum groups at
roots of $1$ , from: "Operator algebras, unitary
representations, enveloping algebras, and invariant theory"
(editors A Connes, M Duflo, A Joseph, R Rentschler), Progr.
Math. 92, Birkhäuser (1990) 471 MR1103601
9
C De Concini ,
V G Kac , C Procesi , Quantum coadjoint
action , J. Amer. Math. Soc. 5 (1992) 151 MR1124981
10
C De Concini ,
V G Kac , C Procesi , Some
remarkable degenerations of quantum groups , Comm. Math.
Phys. 157 (1993) 405 MR1244875
11
C De Concini , C
Procesi , N Reshetikhin , M Rosso , Hopf algebras
with trace and representations , Invent. Math. 161
(2005) 1 MR2178656
12
N Geer , R
Kashaev , V Turaev , Tetrahedral forms in monoidal
categories and $3$–manifold invariants , J. Reine Angew.
Math. 673 (2012) 69 MR2999129
13
N Geer , J
Kujawa , B Patureau-Mirand , Generalized trace
and modified dimension functions on ribbon categories ,
Selecta Math. 17 (2011) 453 MR2803849
14
N Geer , B
Patureau-Mirand , Multivariable
link invariants arising from $\mathfrak{sl}(2 | 1)$ and the
Alexander polynomial , J. Pure Appl. Algebra 210 (2007)
283 MR2311186
15
N Geer , B
Patureau-Mirand , Multivariable
link invariants arising from Lie superalgebras of type
I , J. Knot Theory Ramifications 19 (2010) 93 MR2640994
16
N Geer , B
Patureau-Mirand , V Turaev , Modified quantum
dimensions and re-normalized link invariants , Compos.
Math. 145 (2009) 196 MR2480500
17
N Geer , B
Patureau-Mirand , V Turaev , Modified
$6j$–symbols and $3$–manifold invariants , Adv. Math.
228 (2011) 1163 MR2822220
18
N Geer , B
Patureau-Mirand , A Virelizier , Modified traces
and $6j$–symbols in pivotal categories , in preparation
19
A Hatcher ,
Algebraic topology , Cambridge Univ. Press (2002)
MR1867354
20
R M Kashaev ,
Quantum
dilogarithm as a $6j$–symbol , Modern Phys. Lett. A 9
(1994) 3757 MR1317945
21
R M Kashaev ,
A link
invariant from quantum dilogarithm , Modern Phys. Lett.
A 10 (1995) 1409 MR1341338
22
S Majid , Foundations of
quantum group theory , Cambridge Univ. Press (1995)
MR1381692
23
H Murakami , J
Murakami , The colored Jones
polynomials and the simplicial volume of a knot , Acta
Math. 186 (2001) 85 MR1828373
24
W D Neumann ,
Combinatorics of triangulations and the Chern–Simons
invariant for hyperbolic $3$–manifolds , from: "Topology
'90" (editors B Apanasov, W D Neumann, A W Reid, L
Siebenmann), Ohio State Univ. Math. Res. Inst. Publ. 1, de
Gruyter (1992) 243 MR1184415
25
W D Neumann ,
Hilbert's
$3$rd problem and invariants of $3$–manifolds , from:
"The Epstein birthday schrift" (editors I Rivin, C Rourke, C
Series), Geom. Topol. Monogr. 1 (1998) 383 MR1668316
26
J Petit ,
Decomposition of the Turaev–Viro TQFT arXiv:0903.4512
27
V G Turaev ,
Quantum invariants of knots and $3$–manifolds , de
Gruyter Studies in Mathematics 18, Walter de Gruyter & Co.
(1994) MR1292673
28
V Turaev , Homotopy quantum field
theory , EMS Tracts in Mathematics 10, Eur. Math. Soc.
(2010) MR2674592
29
V G Turaev ,
O Y Viro , State sum
invariants of $3$–manifolds and quantum $6j$–symbols ,
Topology 31 (1992) 865 MR1191386
30
V Turaev , H
Wenzl , Quantum
invariants of $3$–manifolds associated with classical simple
Lie algebras , Internat. J. Math. 4 (1993) 323 MR1217386