Recent Issues
Volume 24, 1 issue
Volume 23, 9 issues
Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508
Volume 22, 8 issues
Volume 22
Issue 8, 3533–4008
Issue 7, 3059–3532
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472
Volume 21, 7 issues
Volume 21
Issue 7, 3221–3734
Issue 6, 2677–3220
Issue 5, 2141–2676
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541
Volume 20, 7 issues
Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529
Volume 19, 7 issues
Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532
Volume 18, 7 issues
Volume 18
Issue 7, 3749–4373
Issue 6, 3133–3747
Issue 5, 2509–3131
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633
Volume 17, 6 issues
Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643
Volume 16, 6 issues
Volume 16
Issue 6, 3073–3719
Issue 5, 2459–3071
Issue 4, 1827–2458
Issue 3, 1253–1825
Issue 2, 621–1251
Issue 1, 1–620
Volume 15, 6 issues
Volume 15
Issue 6, 3107–3729
Issue 5, 2479–3106
Issue 4, 1863–2477
Issue 3, 1239–1862
Issue 2, 623–1238
Issue 1, 1–622
Volume 14, 6 issues
Volume 14
Issue 6, 3141–3763
Issue 5, 2511–3139
Issue 4, 1881–2509
Issue 3, 1249–1879
Issue 2, 627–1247
Issue 1, 1–625
Volume 13, 6 issues
Volume 13
Issue 6, 3099–3731
Issue 5, 2471–3097
Issue 4, 1857–2469
Issue 3, 1243–1856
Issue 2, 625–1241
Issue 1, 1–624
Volume 12, 4 issues
Volume 12
Issue 4, 1901–2517
Issue 3, 1265–1899
Issue 2, 643–1263
Issue 1, 1–641
Volume 11, 5 issues
Volume 11
Issue 5, 2477–3084
Issue 4, 1861–2475
Issue 3, 1243–1860
Issue 2, 625–1242
Issue 1, 1–624
Volume 10, 4 issues
Volume 10
Issue 4, 1865–2468
Issue 3, 1245–1863
Issue 2, 627–1244
Issue 1, 1–625
Volume 9, 4 issues
Volume 9
Issue 4, 1885–2502
Issue 3, 1255–1883
Issue 2, 625–1254
Issue 1, 1–624
Volume 8, 4 issues
Volume 8
Issue 4, 1855–2414
Issue 3, 1223–1853
Issue 2, 615–1222
Issue 1, 1–613
Volume 7, 4 issues
Volume 7
Issue 4, 1633–2270
Issue 3, 1135–1632
Issue 2, 529–1134
Issue 1, 1–528
Volume 6, 5 issues
Volume 6
Issue 5, 2031–2518
Issue 4, 1519–2029
Issue 3, 1025–1517
Issue 2, 513–1024
Issue 1, 1–512
Volume 5, 4 issues
Volume 5
Issue 4, 1291–1732
Issue 3, 865–1290
Issue 2, 443–864
Issue 1, 1–442
Volume 4, 2 issues
Volume 4
Issue 2, 647–1272
Issue 1, 1–645
Volume 3, 2 issues
Volume 3
Issue 2, 623–1292
Issue 1, 1–622
Volume 2, 2 issues
Volume 2
Issue 2, 591–1204
Issue 1, 1–590
Volume 1, 2 issues
Volume 1
Issue 2, 627–790
Issue 1, 1–625
1
J W Alexander ,
Topological
invariants of knots and links , Trans. Amer. Math. Soc.
30 (1928) 275 MR1501429
2
N Andruskiewitsch ,
P Etingof , S Gelaki , Triangular Hopf
algebras with the Chevalley property , Michigan Math. J.
49 (2001) 277 MR1852304
3
C Blanchet , F
Costantino , N Geer , B Patureau-Mirand ,
Nonsemisimple
TQFTs, Reidemeister torsion and Kashaev’s invariants ,
Adv. Math. 301 (2016) 1 MR3539369
4
L Chang , S X
Cui , On two invariants
of three manifolds from Hopf algebras , Adv. Math. 351
(2019) 621 MR3954041
5
Q Chen , S
Kuppum , P Srinivasan , On the relation
between the WRT invariant and the Hennings invariant ,
Math. Proc. Cambridge Philos. Soc. 146 (2009) 151 MR2461874
6
F Costantino , N
Geer , B Patureau-Mirand , V Turaev ,
Kuperberg
and Turaev–Viro invariants in unimodular categories ,
Pacific J. Math. 306 (2020) 421 MR4129407
7
P Etingof , S
Gelaki , D Nikshych , V Ostrik , Tensor categories ,
205, Amer. Math. Soc. (2015) MR3242743
8
S Friedl , A
Juhász , J Rasmussen , The decategorification
of sutured Floer homology , J. Topol. 4 (2011) 431
MR2805998
9
S Friedl , S
Vidussi , A survey of
twisted Alexander polynomials , from: "The mathematics
of knots" (editors M Banagl, D Vogel), Contrib. Math. Comput.
Sci. 1, Springer (2011) 45 MR2777847
10
S Friedl , S
Vidussi , Twisted Alexander
polynomials detect fibered 3 –manifolds , Ann. of Math. 173 (2011)
1587 MR2800721
11
S Friedl , S
Vidussi , The Thurston norm
and twisted Alexander polynomials , J. Reine Angew.
Math. 707 (2015) 87 MR3403454
12
D Gabai , Foliations and
the topology of 3 –manifolds , J. Differential Geom. 18
(1983) 445 MR723813
13
M Hennings ,
Invariants
of links and 3 –manifolds obtained
from Hopf algebras , J. London Math. Soc. 54 (1996) 594
MR1413901
14
V F R Jones ,
A
polynomial invariant for knots via von Neumann
algebras , Bull. Amer. Math. Soc. 12 (1985) 103 MR766964
15
A Juhász , Holomorphic discs and
sutured manifolds , Algebr. Geom. Topol. 6 (2006) 1429
MR2253454
16
A Juhász , The sutured Floer
homology polytope , Geom. Topol. 14 (2010) 1303 MR2653728
17
A Juhász , D
Thurston , I Zemke , Naturality and mapping
class groups in Heegaard Floer homology , 1338, Amer.
Math. Soc. (2021) MR4337438
18
R Kashaev , A
Virelizier , Generalized
Kuperberg invariants of 3 –manifolds , Algebr. Geom. Topol. 19
(2019) 2575 MR4023323
19
P Kirk , C
Livingston , Twisted
Alexander invariants, Reidemeister torsion, and Casson–Gordon
invariants , Topology 38 (1999) 635 MR1670420
20
P Kirk , C
Livingston , Twisted knot
polynomials: inversion, mutation and concordance ,
Topology 38 (1999) 663 MR1670424
21
G Kuperberg ,
Involutory Hopf
algebras and 3 –manifold
invariants , Internat. J. Math. 2 (1991) 41 MR1082836
22
G Kuperberg ,
Noninvolutory
Hopf algebras and 3 –manifold
invariants , Duke Math. J. 84 (1996) 83 MR1394749
23
R G Larson ,
D E Radford , Finite-dimensional
cosemisimple Hopf algebras in characteristic 0 are semisimple , J. Algebra 117 (1988)
267 MR957441
24
R G Larson ,
D E Radford , Semisimple cosemisimple Hopf
algebras , Amer. J. Math. 110 (1988) 187 MR926744
25
X S Lin ,
Representations of knot
groups and twisted Alexander polynomials , Acta Math.
Sin. ( Engl. Ser.) 17 (2001) 361 MR1852950
26
D López Neumann ,
Kuperberg
invariants for balanced sutured 3 –manifolds , Canad. J. Math. 73 (2021)
1698 MR4350558
27
C McPhail-Snyder ,
Holonomy invariants
of links and nonabelian Reidemeister torsion , Quantum
Topol. 13 (2022) 55 MR4404798
28
J Murakami ,
The
multivariable Alexander polynomial and a one-parameter family
of representations of at , from: "Quantum groups" (editor P P
Kulish), Lecture Notes in Math. 1510, Springer (1992) 350
MR1183500
29
P Ozsváth , Z
Szabó , Holomorphic
disks and topological invariants for closed
three-manifolds , Ann. of Math. 159 (2004) 1027 MR2113019
30
J Porti ,
Reidemeister torsion, hyperbolic three-manifolds, and
character varieties , from: "Handbook of group actions, IV"
(editors L Ji, A Papadopoulos, S T Yau), Adv. Lect. Math.
(ALM) 41, International (2018) 447 MR3888692
31
D E Radford ,
The group of
automorphisms of a semisimple Hopf algebra over a field of
characteristic 0 is finite ,
Amer. J. Math. 112 (1990) 331 MR1047302
32
D E Radford ,
Hopf algebras , 49, World Sci. (2012) MR2894855
33
K Reidemeister ,
Homotopieringe
und Linsenräume , Abh. Math. Sem. Univ. Hamburg 11
(1935) 102 MR3069647
34
N Reshetikhin ,
Quantum supergroups , from: "Quantum field theory,
statistical mechanics, quantum groups and topology" (editors T
Curtright, L Mezincescu, R Nepomechie), World Sci. (1992) 264
MR1223142
35
N Y Reshetikhin ,
V G Turaev , Ribbon graphs and their
invariants derived from quantum groups , Comm. Math.
Phys. 127 (1990) 1 MR1036112
36
N Reshetikhin ,
V G Turaev , Invariants of 3 –manifolds via link polynomials and quantum
groups , Invent. Math. 103 (1991) 547 MR1091619
37
L Rozansky , H
Saleur , Quantum field
theory for the multi-variable Alexander–Conway
polynomial , Nuclear Phys. B 376 (1992) 461 MR1170953
38
A Sartori , The Alexander
polynomial as quantum invariant of links , Ark. Mat. 53
(2015) 177 MR3319619
39
V G Turaev ,
Quantum invariants of knots and 3 –manifolds , 18, de Gruyter (1994) MR1292673
40
V Turaev , Homotopy
field theory in dimension 3 and crossed group-categories ,
preprint (2000) arXiv:math/0005291
41
V Turaev , Introduction to
combinatorial torsions , Birkhäuser (2001) MR1809561
42
V Turaev , Homotopy quantum field
theory , 10, Eur. Math. Soc. (2010) MR2674592
43
A Virelizier ,
Hopf
group-coalgebras , J. Pure Appl. Algebra 171 (2002) 75
MR1903398
44
A Virelizier ,
Involutory Hopf
group-coalgebras and flat bundles over 3 –manifolds , Fund. Math. 188 (2005) 241
MR2191947
45
M Wada , Twisted
Alexander polynomial for finitely presentable groups ,
Topology 33 (1994) 241 MR1273784
46
E Witten , Quantum field theory and
the Jones polynomial , Comm. Math. Phys. 121 (1989) 351
MR990772