Recent Issues
Volume 24, 5 issues
Volume 24
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
A Alfieri , S
Kang , A I Stipsicz , Connected Floer
homology of covering involutions , Math. Ann. 377 (2020)
1427 MR4126897
2
R C Blanchfield ,
Intersection
theory of manifolds with operators with applications to knot
theory , Ann. of Math. 65 (1957) 340 MR85512
3
A J Casson ,
C M Gordon , On slice knots in dimension
three , from: "Algebraic and geometric topology, II" (editor
R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math.
Soc. (1978) 39 MR520521
4
J C Cha ,
The structure of
the rational concordance group of knots , 885, Amer.
Math. Soc. (2007) MR2343079
5
J Collins , P
Kirk , C Livingston , The concordance
classification of low crossing number knots , Proc.
Amer. Math. Soc. 143 (2015) 4525 MR3373950
6
I Dai , M
Hedden , A Mallick , Corks, involutions, and
Heegaard Floer homology , (2020) arXiv:2002.02326
7
I Dai , J Hom ,
M Stoffregen , L Truong , More concordance
homomorphisms from knot Floer homology , Geom. Topol. 25
(2021) 275 MR4226231
8
C Davis , P
Feller , M H Kim , J Meier , A
Miller , M Powell , A Ray , P Tiechner ,
Problem list , conference on 4–manifolds and knot
concordance (2016)
9
R H Fox ,
J W Milnor , Singularities
of 2 –spheres in 4 –space and cobordism of knots , Osaka
Math. J. 3 (1966) 257 MR211392
10
M H Freedman ,
The
topology of four-dimensional manifolds , J. Differential
Geom. 17 (1982) 357 MR679066
11
M H Freedman ,
F Quinn , Topology of
4 –manifolds , 39, Princeton
Univ. Press (1990) MR1201584
12
S K Friedl ,
Eta
invariants as sliceness obstructions and their relation to
Casson–Gordon invariants , PhD thesis, Brandeis
University (2003) MR2704824
13
S Friedl , M
Powell , A
calculation of Blanchfield pairings of 3 –manifolds and knots , Mosc. Math. J.
17 (2017) 59 MR3634521
14
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
15
J Greene , S
Jabuka , The slice-ribbon
conjecture for 3 –stranded pretzel
knots , Amer. J. Math. 133 (2011) 555 MR2808326
16
M Hedden , J
Hom , K Orr , M Powell , Synchronizing
smooth and topological 4 –manifolds , conference summary notes
(2016)
17
C Herald , P
Kirk , C Livingston , Metabelian
representations, twisted Alexander polynomials, knot slicing,
and mutation , Math. Z. 265 (2010) 925 MR2652542
18
J Hom , The knot Floer complex and
the smooth concordance group , Comment. Math. Helv. 89
(2014) 537 MR3260841
19
J Hom , Z Wu ,
Four-ball genus
bounds and a refinement of the Ozváth–Szabó tau
invariant , J. Symplectic Geom. 14 (2016) 305 MR3523259
20
S Jabuka , Concordance
invariants from higher order covers , Topology Appl. 159
(2012) 2694 MR2923439
21
A Kawauchi ,
Rational-slice knots via strongly negative-amphicheiral
knots , Commun. Math. Res. 25 (2009) 177 MR2554510
22
C Kearton , Blanchfield duality and
simple knots , Trans. Amer. Math. Soc. 202 (1975) 141
MR358796
23
M H Kim , Z
Wu , On
rational sliceness of Miyazaki’s fibered, − amphicheiral knots , Bull. Lond. Math.
Soc. 50 (2018) 462 MR3829733
24
S G Kim , C
Livingston , Secondary upsilon
invariants of knots , Q. J. Math. 69 (2018) 799 MR3859208
25
T Kim , C
Livingston , Knot reversal acts non-trivially on the
concordance group of topologically slice knots , preprint
(2019) arXiv:1904.12014
26
P Kirk , C
Livingston , Twisted
Alexander invariants, Reidemeister torsion, and Casson–Gordon
invariants , Topology 38 (1999) 635 MR1670420
27
P Kirk , C
Livingston , Twisted knot
polynomials: inversion, mutation and concordance ,
Topology 38 (1999) 663 MR1670424
28
P Kirk , C
Livingston , Concordance and
mutation , Geom. Topol. 5 (2001) 831 MR1871406
29
J Levine , Knot modules, I ,
Trans. Amer. Math. Soc. 229 (1977) 1 MR461518
30
P Lisca , Lens spaces, rational
balls and the ribbon conjecture , Geom. Topol. 11 (2007)
429 MR2302495
31
P Lisca , On 3 –braid knots of finite concordance
order , Trans. Amer. Math. Soc. 369 (2017) 5087 MR3632561
32
R A Litherland ,
Cobordism
of satellite knots , from: "Four-manifold theory"
(editors C Gordon, R Kirby), Contemp. Math. 35, Amer. Math.
Soc. (1984) 327 MR780587
33
C Livingston ,
Seifert
forms and concordance , Geom. Topol. 6 (2002) 403
MR1928840
34
D D Long ,
Strongly
plus-amphicheiral knots are algebraically slice , Math.
Proc. Cambridge Philos. Soc. 95 (1984) 309 MR735371
35
C Manolescu , B
Owens , A
concordance invariant from the Floer homology of double
branched covers , Int. Math. Res. Not. 2007 (2007)
MR2363303
36
J W Milnor ,
Infinite cyclic coverings , from: "Conference on the
topology of manifolds" (editor J G Hocking), Prindle,
Weber & Schmidt Complement. Ser. Math. 13, Prindle, Weber
& Schmidt (1968) 115 MR0242163
37
K Murasugi ,
On periodic
knots , Comment. Math. Helv. 46 (1971) 162 MR292060
38
P S Ozsváth ,
A I Stipsicz , Z Szabó , Concordance
homomorphisms from knot Floer homology , Adv. Math. 315
(2017) 366 MR3667589
39
P Ozsváth , Z
Szabó , Knot Floer homology and
the four-ball genus , Geom. Topol. 7 (2003) 615 MR2026543
40
J Rasmussen ,
Khovanov
homology and the slice genus , Invent. Math. 182 (2010)
419 MR2729272
41
A Sartori , Knot
concordance in three manifolds , Master’s thesis, University
of Pisa (2010)