Recent Issues
Volume 30, 3 issues
Volume 30
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388
Volume 29, 9 issues
Volume 29
Issue 9, 4477–4945
Issue 8, 3921–4476
Issue 7, 3345–3919
Issue 6, 2783–3343
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548
Volume 28, 9 issues
Volume 28
Issue 9, 3973–4381
Issue 8, 3511–3972
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496
Volume 27, 9 issues
Volume 27
Issue 9, 3387–3831
Issue 8, 2937–3385
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415
Volume 26, 8 issues
Volume 26
Issue 8, 3307–3833
Issue 7, 2855–3306
Issue 6, 2405–2853
Issue 5, 1907–2404
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476
Volume 25, 7 issues
Volume 25
Issue 7, 3257–3753
Issue 6, 2713–3256
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546
Volume 24, 7 issues
Volume 24
Issue 7, 3219–3748
Issue 6, 2675–3218
Issue 5, 2149–2674
Issue 4, 1615–2148
Issue 3, 1075–1614
Issue 2, 533–1073
Issue 1, 1–532
Volume 23, 7 issues
Volume 23
Issue 7, 3233–3749
Issue 6, 2701–3231
Issue 5, 2165–2700
Issue 4, 1621–2164
Issue 3, 1085–1619
Issue 2, 541–1084
Issue 1, 1–540
Volume 22, 7 issues
Volume 22
Issue 7, 3761–4380
Issue 6, 3145–3760
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644
Volume 21, 6 issues
Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645
Volume 20, 6 issues
Volume 20
Issue 6, 3057–3673
Issue 5, 2439–3056
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627
Volume 19, 6 issues
Volume 19
Issue 6, 3031–3656
Issue 5, 2407–3030
Issue 4, 1777–2406
Issue 3, 1155–1775
Issue 2, 525–1154
Issue 1, 1–523
Volume 18, 5 issues
Volume 18
Issue 5, 2487–3110
Issue 4, 1865–2486
Issue 3, 1245–1863
Issue 2, 617–1244
Issue 1, 1–616
Volume 17, 5 issues
Volume 17
Issue 5, 2513–3134
Issue 4, 1877–2512
Issue 3, 1253–1876
Issue 2, 621–1252
Issue 1, 1–620
Volume 16, 4 issues
Volume 16
Issue 4, 1881–2516
Issue 3, 1247–1880
Issue 2, 625–1246
Issue 1, 1–624
Volume 15, 4 issues
Volume 15
Issue 4, 1843–2457
Issue 3, 1225–1842
Issue 2, 609–1224
Issue 1, 1–607
Volume 14, 5 issues
Volume 14
Issue 5, 2497–3000
Issue 4, 1871–2496
Issue 3, 1243–1870
Issue 2, 627–1242
Issue 1, 1–626
Volume 13, 5 issues
Volume 13
Issue 5, 2427–3054
Issue 4, 1835–2425
Issue 3, 1229–1833
Issue 2, 623–1227
Issue 1, 1–621
Volume 12, 5 issues
Volume 12
Issue 5, 2517–2855
Issue 4, 1883–2515
Issue 3, 1265–1882
Issue 2, 639–1263
Issue 1, 1–637
Volume 11, 4 issues
Volume 11
Issue 4, 1855–2440
Issue 3, 1255–1854
Issue 2, 643–1254
Issue 1, 1–642
Volume 10, 4 issues
Volume 10
Issue 4, 1855–2504
Issue 3, 1239–1853
Issue 2, 619–1238
Issue 1, 1–617
Volume 9, 4 issues
Volume 9
Issue 4, 1775–2415
Issue 3, 1187–1774
Issue 2, 571–1185
Issue 1, 1–569
Volume 8, 3 issues
Volume 8
Issue 3, 1013–1499
Issue 2, 511–1012
Issue 1, 1–509
Volume 7, 2 issues
Volume 7
Issue 2, 569–1073
Issue 1, 1–568
Volume 6, 2 issues
Volume 6
Issue 2, 495–990
Issue 1, 1–494
Volume 5, 2 issues
Volume 5
Issue 2, 441–945
Issue 1, 1–440
Volume 4, 1 issue
Volume 3, 1 issue
Volume 2, 1 issue
Volume 1, 1 issue
1
B Audoux , J B
Meilhan , A Yasuhara , Milnor-type invariants for
surface-links and cut-diagrams , preprint (2021) arXiv:2109.14578
2
D Bar-Natan ,
Vassiliev homotopy
string link invariants , J. Knot Theory Ramifications 4
(1995) 13 MR1321289
3
K S Brown ,
Cohomology of
groups , 87, Springer (1982) MR672956
4
S E Cappell ,
J L Shaneson , The codimension two placement
problem and homology equivalent manifolds , Ann. of
Math. (2) 99 (1974) 277 MR339216
5
A J Casson ,
Link cobordism
and Milnor’s invariant , Bull. London Math. Soc. 7
(1975) 39 MR362286
6
D Celoria , On concordances in
3 -manifolds , J. Topol. 11
(2018) 180 MR3784229
7
J C Cha ,
Rational
Whitney tower filtration of links , Math. Ann. 370
(2018) 963 MR3770161
8
J C Cha ,
K E Orr , Transfinite Milnor
invariants for 3 -manifolds ,
J. Eur. Math. Soc. 26 (2024) 2971 MR4756949
9
T D Cochran ,
Derivatives of
links : Milnor’s concordance invariants and Massey’s
products , 427, Amer. Math. Soc. (1990) MR1042041
10
T D Cochran , S
Harvey , Homology and derived
series of groups, II : Dwyer’s theorem , Geom. Topol. 12
(2008) 199 MR2377249
11
T D Cochran ,
K E Orr , P Teichner , Knot concordance,
Whitney towers and L 2 -signatures , Ann. of Math.
(2) 157 (2003) 433 MR1973052
12
J Conant , R
Schneiderman , P Teichner , Higher-order
intersections in low-dimensional topology , Proc. Natl.
Acad. Sci. USA 108 (2011) 8131 MR2806650
13
J Conant , R
Schneiderman , P Teichner , Milnor invariants and
twisted Whitney towers , J. Topol. 7 (2014) 187 MR3180617
14
C W Davis ,
Topological
concordance of knots in homology spheres and the solvable
filtration , J. Topol. 13 (2020) 343 MR4138741
15
C W Davis , M
Nagel , J Park , A Ray , Concordance of knots in
S 1 ×
S 2 , J. Lond. Math. Soc.
(2) 98 (2018) 59 MR3847232
16
W G Dwyer ,
Homology, Massey
products and maps between groups , J. Pure Appl. Algebra
6 (1975) 177 MR385851
17
M H Freedman ,
P Teichner , 4 -manifold topology, II : Dwyer’s filtration
and surgery kernels , Invent. Math. 122 (1995) 531
MR1359603
18
S Friedl , M
Nagel , P Orson , M Powell , Satellites and concordance
of knots in 3 -manifolds ,
Trans. Amer. Math. Soc. 371 (2019) 2279 MR3896081
19
C F Gauss , Zur
mathematischen Theorie der electrodynamischen Wirkungen ,
from: "Carl Friedrich Gauss: Werke", Königlichen Gesellschaft
der Wissenschaften (1877) 601
20
D L Goldsmith ,
A linking
invariant of classical link concordance , from: "Knot
theory" (editor J C Hausmann), Lecture Notes in Math. 685,
Springer (1978) 135 MR521732
21
M N Gusarov ,
Variations of knotted
graphs : the geometric technique of n -equivalence , Algebra i Analiz 12
(2000) 79 MR1793618
22
N Habegger , G
Masbaum , The Kontsevich
integral and Milnor’s invariants , Topology 39 (2000)
1253 MR1783857
23
K Habiro , Claspers and finite type
invariants of links , Geom. Topol. 4 (2000) 1 MR1735632
24
P Heck , Homotopy
properties of knots in prime manifolds , preprint (2011)
arXiv:1110.6903
25
J Hom , A S
Levine , T Lidman , Knot concordance
in homology cobordisms , Duke Math. J. 171 (2022) 3089
MR4497224
26
K Igusa , The
generalized grassman invariant K 3 ( ℤ [ π ]) → H 0 ( π ; ℤ 2 [ π ]) ,
unpublished manuscript (1979)
27
K Igusa , K E
Orr , Links, pictures
and the homology of nilpotent groups , Topology 40
(2001) 1125 MR1867241
28
M R Klug , M
Miller , Concordance of surfaces in
4 -manifolds and the Freedman–Quinn
invariant , J. Topol. 14 (2021) 560 MR4286049
29
M Klug , M
Miller , Concordance of spheres in 4 -manifolds with an immersed dual sphere ,
preprint (2022) arXiv:2211.07177
30
V S Krushkal ,
Additivity
properties of Milnor’s μ -invariants , J. Knot Theory
Ramifications 7 (1998) 625 MR1637589
31
M Kuzbary , An analogue of
Milnor’s invariants for knots in 3 -manifolds , Algebr. Geom. Topol. 24
(2024) 3043 MR4812214
32
J Levine , Knot modules, I ,
Trans. Amer. Math. Soc. 229 (1977) 1 MR461518
33
J P Levine ,
Link
concordance and algebraic closure, II , Invent. Math. 96
(1989) 571 MR996555
34
J P Levine ,
Link
concordance and algebraic closure of groups , Comment.
Math. Helv. 64 (1989) 236 MR997364
35
A S Levine ,
Nonsurjective
satellite operators and piecewise-linear concordance ,
Forum Math. Sigma 4 (2016) MR3589337
36
X S Lin ,
Null
k -cobordant links in S 3 , Comment. Math. Helv. 66 (1991)
333 MR1120650
37
D Miller , An extension of
Milnor’s μ -invariants , Topology Appl. 65
(1995) 69 MR1354382
38
M Miller , A concordance analogue of
the 4D light bulb theorem , Int. Math. Res. Not. 2021
(2021) 2565 MR4218331
39
J Milnor , Isotopy
of links , from: "Algebraic geometry and topology : a
symposium in honor of S. Lefschetz" (editors R H Fox,
D C Spencer, A W Tucker), Princeton Math. Series 12,
Princeton Univ. Press (1957) 280 MR92150
40
M Nagel , P
Orson , J Park , M Powell , Smooth and topological
almost concordance , Int. Math. Res. Not. 2019 (2019)
7324 MR4039014
41
K E Orr ,
Homotopy
invariants of links , Invent. Math. 95 (1989) 379
MR974908
42
R Porter , Milnor’s μ -invariants
and Massey products , Trans. Amer. Math. Soc. 257 (1980)
39 MR549154
43
K Raoux , τ -invariants for knots in rational homology
spheres , Algebr. Geom. Topol. 20 (2020) 1601 MR4127080
44
J J Rotman ,
An introduction to
homological algebra , Springer (2009) MR2455920
45
R Schneiderman ,
Algebraic
linking numbers of knots in 3 -manifolds , Algebr. Geom. Topol. 3
(2003) 921 MR2012959
46
H R Schwartz ,
Equivalent
non-isotopic spheres in 4 -manifolds , J. Topol. 12 (2019) 1396
MR4138734
47
E H Spanier ,
Algebraic
topology , Springer (1995) MR1325242
48
J Stallings ,
Homology and
central series of groups , J. Algebra 2 (1965) 170
MR175956
49
R Stees , Milnor’s
invariants for knots and links in closed orientable
3-manifolds , PhD thesis, Indiana University (2023)
MR4625698
50
R Stees ,
Almost-concordance of knots in aspherical 3 -manifolds , preprint (2025) arXiv:2508.14638
51
N S Sunukjian ,
Surfaces in
4 -manifolds : concordance, isotopy,
and surgery , Int. Math. Res. Not. 2015 (2015) 7950
MR3404006
52
V G Turaev ,
The Milnor
invariants and Massey products , Zap. Naučn. Sem.
Leningrad. Otdel. Mat. Inst. Steklov. 66 (1976) 189, 209
MR451251
53
V G Turaev ,
Nilpotent
homotopy types of closed 3 -manifolds , from: "Topology" (editors
L D Faddeev, A A Mal’cev), Lecture Notes in Math.
1060, Springer (1984) 355 MR770255
54
P Vogel ,
Localization of spaces with respect to a class of maps ,
preprint (1978)
55
E Z Yildiz ,
A note on
knot concordance , Algebr. Geom. Topol. 18 (2018) 3119
MR3848410
56
H Zhou , Homology concordance and
an infinite rank free subgroup , J. Topol. 14 (2021)
1369 MR4406694