Recent Issues
Volume 24, 9 issues
Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594
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
S Andreadakis ,
On the
automorphisms of free groups and free nilpotent groups ,
Proc. Lond. Math. Soc. 15 (1965) 239 MR0188307
2
B Audoux , On the welded tube
map , from: "Knot theory and its applications" (editors
K Gongopadhyay, R Mishra), Contemp. Math. 670, Amer. Math. Soc.
(2016) 261 MR3568529
3
B Audoux , J B
Meilhan , Characterization of the reduced peripheral
system of links , preprint (2019) arXiv:1904.04763
4
B Audoux , P
Bellingeri , J B Meilhan , E Wagner ,
Homotopy
classification of ribbon tubes and welded string links ,
Ann. Sc. Norm. Super. Pisa Cl. Sci. 17 (2017) 713 MR3700382
5
B Audoux , J B
Meilhan , E Wagner , On codimension two
embeddings up to link-homotopy , J. Topol. 10 (2017)
1107 MR3743070
6
J C Baez ,
D K Wise , A S Crans , Exotic statistics
for strings in 4 D BF
theory , Adv. Theor. Math. Phys. 11 (2007) 707 MR2362007
7
D Bar-Natan ,
Vassiliev homotopy
string link invariants , J. Knot Theory Ramifications 4
(1995) 13 MR1321289
8
D Bar-Natan , Z
Dancso , Finite-type
invariants of w-knotted objects, I : w-knots and the Alexander
polynomial , Algebr. Geom. Topol. 16 (2016) 1063
MR3493416
9
D Bar-Natan , Z
Dancso , Finite type
invariants of w-knotted objects, II : Tangles, foams and the
Kashiwara–Vergne problem , Math. Ann. 367 (2017) 1517
MR3623232
10
V G Bardakov ,
Structure of a
conjugating automorphism group , Algebra Logika 42
(2003) 515 MR2025714
11
L Bartholdi ,
Automorphisms
of free groups, I : Erratum , New York J. Math. 22
(2016) 1135 MR3576285
12
B Berceanu , Ş
Papadima , Universal
representations of braid and braid-permutation groups ,
J. Knot Theory Ramifications 18 (2009) 999 MR2549480
13
J S Birman ,
Braids,
links, and mapping class groups , 82, Princeton Univ.
Press (1974) MR375281
14
F R Cohen ,
On
combinatorial group theory in homotopy , from: "Homotopy
theory and its applications" (editors A Adem, R J Milgram,
D C Ravenel), Contemp. Math. 188, Amer. Math. Soc. (1995)
57 MR1349129
15
C Damiani , A journey
through loop braid groups , Expo. Math. 35 (2017) 252
MR3689901
16
C Damiani , Towards a
version of Markov’s theorem for ribbon torus-links in
ℝ 4 , from: "Knots, low-dimensional
topology and applications" (editors C C Adams, C M
Gordon, V F R Jones, L H Kauffman, S
Lambropoulou, K C Millett, J H Przytycki, R Ricca, R
Sazdanovic), Springer Proc. Math. Stat. 284, Springer (2019)
309 MR3986052
17
J Darné , On the stable
Andreadakis problem , J. Pure Appl. Algebra 223 (2019)
5484 MR3975077
18
J Darné , On the Andreadakis
problem for subgroups of IA n , Int. Math. Res. Not. 2021
(2021) 14720 MR4324726
19
R Fenn , R
Rimányi , C Rourke , The
braid-permutation group , Topology 36 (1997) 123
MR1410467
20
D L Goldsmith ,
Homotopy of
braids : in answer to a question of E Artin , from:
"Topology conference" (editors R F Dickman Jr., P
Fletcher), Lecture Notes in Math. 375, Springer (1974) 91
MR0356021
21
D L Goldsmith ,
The
theory of motion groups , Michigan Math. J. 28 (1981) 3
MR0600411
22
M Gusarov , On n –equivalence of knots and invariants of
finite degree , from: "Topology of manifolds and
varieties" (editor O Viro), Adv. Soviet Math. 18, Amer. Math.
Soc. (1994) 173 MR1296895
23
M Goussarov , M
Polyak , O Viro , Finite-type
invariants of classical and virtual knots , Topology 39
(2000) 1045 MR1763963
24
N Habegger ,
X S Lin , The classification of links
up to link-homotopy , J. Amer. Math. Soc. 3 (1990) 389
MR1026062
25
N Habegger , G
Masbaum , The Kontsevich
integral and Milnor’s invariants , Topology 39 (2000)
1253 MR1783857
26
D A Jackson ,
Basic
commutators in weights six and seven as relators , Comm.
Algebra 36 (2008) 2905 MR2440289
27
S Kamada , Braid
presentation of virtual knots and welded knots , Osaka
J. Math. 44 (2007) 441 MR2351010
28
T Kohno , Série de Poincaré–Koszul
associée aux groupes de tresses pures , Invent. Math. 82
(1985) 57 MR0808109
29
M Kontsevich ,
Vassiliev’s knot
invariants , from: "I M Gelfand Seminar, II" (editors S
Gelfand, S Gindikin), Adv. Soviet Math. 16, Amer. Math. Soc.
(1993) 137 MR1237836
30
M Lazard , Sur les groupes
nilpotents et les anneaux de Lie , Ann. Sci. École Norm.
Sup. 71 (1954) 101 MR0088496
31
J McCool , On basis-conjugating
automorphisms of free groups , Canad. J. Math. 38 (1986)
1525 MR0873421
32
J B Meilhan , A
Yasuhara , Arrow calculus for
welded and classical links , Algebr. Geom. Topol. 19
(2019) 397 MR3910585
33
J Milnor , Link groups , Ann. of
Math. 59 (1954) 177 MR0071020
34
J Milnor , Isotopy of
links , from: "Algebraic geometry and topology" (editor
R H Fox), Princeton Univ. Press (1957) 280 MR0092150
35
J Mostovoy , S
Willerton , Free groups and
finite-type invariants of pure braids , Math. Proc.
Cambridge Philos. Soc. 132 (2002) 117 MR1866328
36
T Nakamura , Y
Nakanishi , S Satoh , A Yasuhara , The pass move is
an unknotting operation for welded knots , Topology
Appl. 247 (2018) 9 MR3846211
37
C Reutenauer ,
Free
Lie algebras , from: "Handbook of algebra, III" (editor
M Hazewinkel), Elsevier (2003) 887 MR2035110
38
S Satoh , Virtual knot
presentation of ribbon torus-knots , J. Knot Theory
Ramifications 9 (2000) 531 MR1758871
39
T Satoh , On the Andreadakis
conjecture restricted to the “lower-triangular” automorphism
groups of free groups , J. Algebra Appl. 16 (2017)
1750099 MR3634104
40
J P Serre ,
Lie
algebras and Lie groups , Benjamin (1965) MR218496
41
C C Sims ,
Verifying
nilpotence , J. Symbolic Comput. 3 (1987) 231 MR0899671
42
T Stanford ,
Braid
commutators and Vassiliev invariants , Pacific J. Math.
174 (1996) 269 MR1398378
43
T B Stanford ,
Vassiliev invariants and knots modulo pure braid
subgroups , preprint (1998) arXiv:math/9805092
44
V A Vassiliev ,
Cohomology
of knot spaces , from: "Theory of singularities and its
applications" (editor V I Arnold), Adv. Soviet Math. 1,
Amer. Math. Soc. (1990) 23 MR1089670