Recent Issues
Volume 28, 8 issues
Volume 28
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
J S Carter , M
Saito , Reidemeister moves
for surface isotopies and their interpretation as moves to
movies , J. Knot Theory Ramifications 2 (1993) 251
MR1238875
2
J S Carter , M
Saito , Knotted surfaces and their diagrams , 55,
Amer. Math. Soc. (1998) MR1487374
3
I Dai , M
Miller , The 0 –concordance
monoid is infinitely generated , preprint (2019) arXiv:1907.07166
4
M H Freedman ,
The
topology of four-dimensional manifolds , J. Differential
Geometry 17 (1982) 357 MR679066
5
D Gabai , The 4 –dimensional light bulb theorem , J.
Amer. Math. Soc. 33 (2020) 609 MR4127900
6
D Gay , R Kirby ,
Trisecting
4 –manifolds , Geom. Topol.
20 (2016) 3097 MR3590351
7
H Gluck , The embedding of two-spheres
in the four-sphere , Trans. Amer. Math. Soc. 104 (1962)
308 MR146807
8
C M Gordon ,
Knots in the
4 –sphere , Comment. Math.
Helv. 51 (1976) 585 MR440561
9
K Habiro , Y
Marumoto , Y Yamada , Gluck surgery and
framed links in 4 –manifolds , from: "Knots in Hellas
’98" (editors C M Gordon, V F R Jones, L H
Kauffman, S Lambropoulou, J H Przytycki), Ser. Knots
Everything 24, World Sci. (2000) 80 MR1865702
10
J Joseph ,
0 –Concordance of knotted
surfaces and Alexander ideals , preprint (2019) arXiv:1911.13112
11
S Kamada , Nonorientable
surfaces in 4 –space , Osaka
J. Math. 26 (1989) 367 MR1017592
12
S Kamada ,
2 –Dimensional braids and chart
descriptions , from: "Topics in knot theory" (editor
M E Bozhüyük), NATO Adv. Sci. Inst. Ser. C Math. Phys.
Sci. 399, Kluwer (1993) 277 MR1257915
13
S Kamada , Braid and knot theory in
dimension four , 95, Amer. Math. Soc. (2002) MR1900979
14
A Kawauchi ,
A chord
diagram of a ribbon surface-link , J. Knot Theory
Ramifications 24 (2015) MR3402895
15
A Kawauchi , T
Shibuya , S Suzuki , Descriptions on surfaces in
four-space, I : Normal forms , Math. Sem. Notes Kobe Univ.
10 (1982) 75 MR672939
16
C Kearton , V
Kurlin , All 2 –dimensional links in 4 –space live inside a universal 3 –dimensional polyhedron , Algebr. Geom.
Topol. 8 (2008) 1223 MR2443242
17
R C Kirby editor ,
Problems in
low-dimensional topology , from: "Geometric topology",
AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
18
F Laudenbach , V
Poénaru , A note on
4 –dimensional handlebodies ,
Bull. Soc. Math. France 100 (1972) 337 MR317343
19
R A Litherland ,
Deforming
twist-spun knots , Trans. Amer. Math. Soc. 250 (1979)
311 MR530058
20
J Meier , T
Schirmer , A Zupan , Classification of
trisections and the generalized property R conjecture ,
Proc. Amer. Math. Soc. 144 (2016) 4983 MR3544545
21
J Meier , A
Zupan , Bridge trisections of
knotted surfaces in S 4 , Trans. Amer. Math. Soc. 369
(2017) 7343 MR3683111
22
J Meier , A
Zupan , Bridge trisections of
knotted surfaces in 4-manifolds , Proc. Natl. Acad. Sci.
USA 115 (2018) 10880 MR3871791
23
P M Melvin ,
Blowing
up and down in 4 –manifolds ,
PhD thesis, University of California, Berkeley (1977) MR2627246
24
K Miyazaki ,
Band-sums
are ribbon concordant to the connected sum , Proc. Amer.
Math. Soc. 126 (1998) 3401 MR1451821
25
D Nash , A I
Stipsicz , Gluck twist on a
certain family of 2 –knots ,
Michigan Math. J. 61 (2012) 703 MR3049286
26
D Roseman , Reidemeister-type moves for
surfaces in four-dimensional space , from: "Knot theory"
(editors V F R Jones, J Kania-Bartoszyńska, J H
Przytycki, P Traczyk, V G Turaev), Banach Center Publ. 42,
Polish Acad. Sci. Inst. Math. (1998) 347 MR1634466
27
N S Sunukjian ,
Surfaces in
4 –manifolds : concordance, isotopy,
and surgery , Int. Math. Res. Not. 2015 (2015) 7950
MR3404006
28
N Sunukjian ,
0 –Concordance of 2 –knots , preprint (2019) arXiv:1907.06524
29
F J Swenton ,
On a
calculus for 2 –knots and surfaces
in 4 –space , J. Knot Theory
Ramifications 10 (2001) 1133 MR1871221
30
M Teragaito ,
Twist-roll spun
knots , Proc. Amer. Math. Soc. 122 (1994) 597 MR1201806
31
T Yanagawa ,
On
ribbon 2 –knots : the 3 –manifold bounded by the 2 –knots , Osaka Math. J. 6 (1969) 447
MR266193
32
K Yoshikawa ,
On a
2 –knot group with nontrivial
center , Bull. Austral. Math. Soc. 25 (1982) 321
MR671481
33
K Yoshikawa ,
An
enumeration of surfaces in four-space , Osaka J. Math.
31 (1994) 497 MR1309400
34
E C Zeeman ,
Twisting spun
knots , Trans. Amer. Math. Soc. 115 (1965) 471 MR195085
35
A Zupan , Bridge and pants
complexities of knots , J. Lond. Math. Soc. 87 (2013) 43
MR3022706