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
T Abe , K
Tagami , Fibered knots with
the same 0 -surgery and the
slice-ribbon conjecture , Math. Res. Lett. 23 (2016) 303
MR3512887
2
P Aceto , N A
Castro , M Miller , J Park , A Stipsicz ,
Slice obstructions from genus bounds in definite
4-manifolds , preprint (2023) arXiv:2303.10587
3
J F Adams ,
Prerequisites
(on equivariant stable homotopy) for Carlsson’s
lecture , from: "Algebraic topology" (editors I Madsen,
B Oliver), Lecture Notes in Math. 1051, Springer (1984) 483
MR764596
4
A Alfieri , S
Kang , A I Stipsicz , Connected Floer
homology of covering involutions , Math. Ann. 377 (2020)
1427 MR4126897
5
K L Baker ,
A note on
the concordance of fibered knots , J. Topol. 9 (2016) 1
MR3465837
6
J A Baldwin , S
Sivek , Framed instanton homology
and concordance , J. Topol. 14 (2021) 1113 MR4332488
7
J A Baldwin , S
Sivek , Framed instanton homology and concordance,
II , preprint (2022) arXiv:2206.11531
8
W Ballinger ,
Configurations of spheres in # n ℂ P 2 ,
preprint (2022) arXiv:2209.12851
9
D Baraglia ,
Knot
concordance invariants from Seiberg–Witten theory and slice
genus bounds in 4 -manifolds , Internat. J. Math. 35
(2024) 2450032 MR4793229
10
D Baraglia , P
Hekmati , Equivariant
Seiberg–Witten–Floer cohomology , Algebr. Geom. Topol.
24 (2024) 493 MR4721374
11
D Baraglia , P
Hekmati , New invariants of involutions from
Seiberg–Witten Floer theory , preprint (2024) arXiv:2403.00203
12
G Carlsson ,
Equivariant
stable homotopy and Sullivan’s conjecture , Invent.
Math. 103 (1991) 497 MR1091616
13
A J Casson ,
C M Gordon , A loop theorem for duality
spaces and fibred ribbon knots , Invent. Math. 74 (1983)
119 MR722728
14
J C Cha ,
The structure of
the rational concordance group of knots , 885, Amer.
Math. Soc. (2007) MR2343079
15
J C Cha , C
Livingston , D Ruberman , Algebraic and
Heegaard–Floer invariants of knots with slice Bing
doubles , Math. Proc. Cambridge Philos. Soc. 144 (2008)
403 MR2405897
16
A Conway , M H
Kim , W Politarczyk , Nonslice linear
combinations of iterated torus knots , Algebr. Geom.
Topol. 23 (2023) 765 MR4587316
17
A Daemi , C
Scaduto , Chern–Simons functional,
singular instantons, and the four-dimensional clasp
number , J. Eur. Math. Soc. 26 (2024) 2127 MR4742808
18
A Daemi , C
Scaduto , Equivariant aspects
of singular instanton Floer homology , Geom. Topol. 28
(2024) 4057 MR4845451
19
A Daemi , H
Imori , K Sato , C Scaduto , M Taniguchi ,
Instantons, special
cycles and knot concordance , Geom. Topol. 29 (2025)
4189 MR5000788
20
I Dai , C
Manolescu , Involutive Heegaard
Floer homology and plumbed three-manifolds , J. Inst.
Math. Jussieu 18 (2019) 1115 MR4021102
21
I Dai , H
Sasahira , M Stoffregen , Lattice homology and
Seiberg–Witten–Floer spectra , preprint (2023) arXiv:2309.01253
22
I Dai , S Kang ,
A Mallick , J Park , M Stoffregen ,
The
(2 , 1) -cable of the
figure-eight knot is not smoothly slice , Invent. Math.
238 (2024) 371 MR4809438
23
T tom Dieck ,
Transformation
groups , 8, de Gruyter (1987) MR889050
24
W Dwyer , H
Miller , J Neisendorfer , Fibrewise completion and
unstable Adams spectral sequences , Israel J. Math. 66
(1989) 160 MR1017160
25
P Feller , J
Park , A note on the
four-dimensional clasp number of knots , Math. Proc.
Cambridge Philos. Soc. 173 (2022) 213 MR4438338
26
R H Fox , Some
problems in knot theory , from: "Topology of 3 -manifolds and related topics" (editor
M K Fort Jr), Prentice-Hall (1961) 168 MR140100
27
S Ghosh , Z Li ,
C M M Wong , On the tau invariants in
instanton and monopole Floer theories , J. Topol. 17
(2024) MR4821358
28
C M Gordon ,
R A Litherland , K Murasugi , Signatures of covering
links , Canadian J. Math. 33 (1981) 381 MR617628
29
J E Greene ,
L-space
surgeries, genus bounds, and the cabling conjecture , J.
Differential Geom. 100 (2015) 491 MR3352796
30
M Hedden , P
Kirk , C Livingston , Non-slice linear
combinations of algebraic knots , J. Eur. Math. Soc. 14
(2012) 1181 MR2928848
31
J Hom , A survey on
Heegaard Floer homology and concordance , J. Knot Theory
Ramifications 26 (2017) 1740015 MR3604497
32
J Hom , S Kang ,
J Park , M Stoffregen , Linear independence
of rationally slice knots , Geom. Topol. 26 (2022) 3143
MR4540903
33
N Iida , M
Taniguchi , Monopoles and transverse knots , preprint
(2024) arXiv:2403.15763
34
A Juhász , I
Zemke , New Heegaard Floer slice genus and clasp number
bounds , preprint (2020) arXiv:2007.07106
35
Ç Karakurt , O
Şavk , Almost simple
linear graphs, homology cobordism and connected Heegaard Floer
homology , Acta Math. Hungar. 168 (2022) 454 MR4527512
36
Y Kato , Nonsmoothable
actions of ℤ 2 ×
ℤ 2 on spin four-manifolds , Topology
Appl. 307 (2022) 107868 MR4365044
37
A Kawauchi ,
The
(1 , 2) -cable of the
figure eight knot is rationally slice , unpublished work
(1980)
38
A Kawauchi ,
On
links not cobordant to split links , Topology 19 (1980)
321 MR584558
39
A Kawauchi ,
Rational-slice knots via strongly negative-amphicheiral
knots , Commun. Math. Res. 25 (2009) 177 MR2554510
40
M Khovanov ,
A
categorification of the Jones polynomial , Duke Math. J.
101 (2000) 359 MR1740682
41
M H Kim , Z
Wu , On
rational sliceness of Miyazaki’s fibered, -amphicheiral
knots , Bull. Lond. Math. Soc. 50 (2018) 462 MR3829733
42
H Konno , A
Mallick , M Taniguchi , From diffeomorphisms to
exotic phenomena in small 4 -manifolds , preprint (2023) arXiv:2304.05997
43
H Konno , J
Miyazawa , M Taniguchi , Involutions, links, and
Floer cohomologies , J. Topol. 17 (2024) MR4821360
44
H Konno , J
Miyazawa , M Taniguchi , Involutions, knots,
and Floer K -theory ,
Compos. Math. 161 (2025) 2852 MR5002153
45
P B Kronheimer ,
T S Mrowka , Gauge theory and
Rasmussen’s invariant , J. Topol. 6 (2013) 659 MR3100886
46
P B Kronheimer ,
T S Mrowka , Instantons and some
concordance invariants of knots , J. Lond. Math. Soc.
(2) 104 (2021) 541 MR4311103
47
J Lannes , Sur les
espaces fonctionnels dont la source est le classifiant d’un
p -groupe abélien
élémentaire , Inst. Hautes Études Sci. Publ. Math.
(1992) 135 MR1179079
48
J Levine , Knot cobordism groups in
codimension two , Comment. Math. Helv. 44 (1969) 229
MR246314
49
J Li , Monopole
Floer homology and real structures , preprint (2022)
arXiv:2211.10768
50
J Li , Real monopole
Floer homology and skein exact triangles , preprint (2023)
arXiv:2304.01742
51
W B R
Lickorish , An introduction to
knot theory , 175, Springer (1997) MR1472978
52
T Lidman , C
Manolescu , The equivalence of two
Seiberg–Witten Floer homologies , 399 (2018) MR3818611
53
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
54
C Livingston ,
Signed clasp numbers and four-genus bounds , preprint
(2022) arXiv:2206.10432
55
C Manolescu ,
Seiberg–Witten–Floer
stable homotopy type of three-manifolds with b 1
= 0 , Geom. Topol. 7 (2003)
889 MR2026550
56
C Manolescu ,
A
gluing theorem for the relative Bauer–Furuta
invariants , J. Differential Geom. 76 (2007) 117
MR2312050
57
C Manolescu , M
Marengon , S Sarkar , M Willis , A generalization
of Rasmussen’s invariant, with applications to surfaces in some
four-manifolds , Duke Math. J. 172 (2023) 231 MR4541332
58
A N Miller ,
Amphichiral
knots with large 4 -genus ,
Bull. Lond. Math. Soc. 54 (2022) 624 MR4453695
59
K Miyazaki ,
Nonsimple, ribbon
fibered knots , Trans. Amer. Math. Soc. 341 (1994) 1
MR1176509
60
J Miyazawa , A gauge
theoretic invariant of embedded surfaces in 4 -manifolds and exotic P 2 -knots , preprint (2023) arXiv:2312.02041
61
I Montague ,
Seiberg–Witten Floer K-theory and cyclic group actions on
spin four-manifolds with boundary , preprint (2022) arXiv:2210.08565
62
L Moser , Elementary surgery
along a torus knot , Pacific J. Math. 38 (1971) 737
MR383406
63
T Mrowka , P
Ozsváth , B Yu , Seiberg–Witten
monopoles on Seifert fibered spaces , Comm. Anal. Geom.
5 (1997) 685 MR1611061
64
N Nakamura ,
Pin − (2) -monopole equations and intersection forms
with local coefficients of four-manifolds , Math. Ann.
357 (2013) 915 MR3118618
65
N Nakamura ,
Pin − (2) -monopole invariants , J.
Differential Geom. 101 (2015) 507 MR3415770
66
A Némethi , On the Ozsváth–Szabó
invariant of negative definite plumbed 3-manifolds ,
Geom. Topol. 9 (2005) 991 MR2140997
67
A Némethi , Lattice cohomology
of normal surface singularities , Publ. Res. Inst. Math.
Sci. 44 (2008) 507 MR2426357
68
W D Neumann ,
An invariant of
plumbed homology spheres , from: "Topology symposium"
(editors U Koschorke, W D Neumann), Lecture Notes in Math.
788, Springer (1980) 125 MR585657
69
Y Ni , X Zhang ,
Characterizing
slopes for torus knots , Algebr. Geom. Topol. 14 (2014)
1249 MR3190593
70
P Ozsváth , Z
Szabó , Absolutely
graded Floer homologies and intersection forms for
four-manifolds with boundary , Adv. Math. 173 (2003) 179
MR1957829
71
P Ozsváth , Z
Szabó , On the Floer homology
of plumbed three-manifolds , Geom. Topol. 7 (2003) 185
MR1988284
72
S P Plotnick ,
Fibered
knots in S 4 : twisting, spinning, rolling, surgery,
and branching , from: "Four-manifold theory" (editors C
Gordon, R Kirby), Contemp. Math. 35, Amer. Math. Soc. (1984)
437 MR780592
73
J A Rasmussen ,
Floer homology and knot complements , PhD thesis, Harvard
University (2003) arXiv:math/0306378
MR2704683
74
J Rasmussen ,
Khovanov
homology and the slice genus , Invent. Math. 182 (2010)
419 MR2729272
75
L Rudolph , How
independent are the knot-cobordism classes of links of plane
curve singularities? , Notices Amer. Math. Soc 23 (1976)
410
76
S J Schiffman ,
A mod p Whitehead theorem , Proc. Amer. Math.
Soc. 82 (1981) 139 MR603617
77
T Shibuya , Some relations
among various numerical invariants for links , Osaka
Math. J. 11 (1974) 313 MR353295
78
L Siebenmann ,
On vanishing of
the Rohlin invariant and nonfinitely amphicheiral homology
3 -spheres , from: "Topology
symposium" (editors U Koschorke, W D Neumann), Lecture
Notes in Math. 788, Springer (1980) 172 MR585660
79
G Tian , S Wang ,
Orientability and
real Seiberg–Witten invariants , Internat. J. Math. 20
(2009) 573 MR2526308
80
A G Tristram ,
Some
cobordism invariants for links , Proc. Cambridge Philos.
Soc. 66 (1969) 251 MR248854