Volume 25, issue 3 (2021)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 29, 1 issue

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Extending fibrations of knot complements to ribbon disk complements

Maggie Miller

Geometry & Topology 25 (2021) 1479–1550
Bibliography
1 M Borodzik, A Némethi, A Ranicki, Morse theory for manifolds with boundary, Algebr. Geom. Topol. 16 (2016) 971 MR3493413
2 G Burde, H Zieschang, M Heusener, Knots, 5, de Gruyter (2014) MR3156509
3 A J Casson, C M Gordon, A loop theorem for duality spaces and fibred ribbon knots, Invent. Math. 74 (1983) 119 MR722728
4 A J Casson, C M Gordon, Cobordism of classical knots, from: "À la recherche de la topologie perdue" (editors L Guillou, A Marin), Progr. Math. 62, Birkhäuser (1986) 181 MR900252
5 T Cochran, Ribbon knots in S4, J. Lond. Math. Soc. 28 (1983) 563 MR724727
6 T D Cochran, C W Davis, Counterexamples to Kauffman’s conjectures on slice knots, Adv. Math. 274 (2015) 263 MR3318151
7 R H Fox, A quick trip through knot theory, from: "Topology of 3–manifolds and related topics" (editor M K Fort Jr.), Prentice-Hall (1962) 120 MR0140099
8 R H Fox, Some problems in knot theory, from: "Topology of 3–manifolds and related topics" (editor M K Fort Jr.), Prentice-Hall (1962) 168 MR0140100
9 M H Freedman, F Quinn, Topology of 4–manifolds, 39, Princeton Univ. Press (1990) MR1201584
10 D Gabai, Detecting fibred links in S3, Comment. Math. Helv. 61 (1986) 519 MR870705
11 J Hillman, Algebraic invariants of links, 32, World Sci. (2002) MR1932169
12 M Hirasawa, K Murasugi, Genera and fibredness of Montesinos knots, Pacific J. Math. 225 (2006) 53 MR2233725
13 A Kawauchi, A survey of knot theory, Birkhäuser (1996) MR1417494
14 R Kirby, Problems in low-dimensional topology, from: "Geometric topology" (editor W H Kazez), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
15 C Lamm, Symmetric union presentations for 2–bridge ribbon knots, preprint (2006) arXiv:math/0602395
16 C Lamm, The search for non-symmetric ribbon knots, preprint (2017) arXiv:1710.06909
17 K Larson, J Meier, Fibered ribbon disks, J. Knot Theory Ramifications 24 (2015) MR3434552
18 J Levine, Unknotting spheres in codimension two, Topology 4 (1965) 9 MR179803
19 J Levine, An algebraic classification of some knots of codimension two, Comment. Math. Helv. 45 (1970) 185 MR266226
20 P Lisca, Lens spaces, rational balls and the ribbon conjecture, Geom. Topol. 11 (2007) 429 MR2302495
21 C Livingston, J Meier, Doubly slice knots with low crossing number, New York J. Math. 21 (2015) 1007 MR3425633
22 C Livingston, A H Moore, KnotInfo: table of knot invariants, electronic reference (2004–)
23 J Meier, A Zupan, Generalized square knots and homotopy 4–spheres, preprint (2019) arXiv:1904.08527
24 J Milnor, Singular points of complex hypersurfaces, 61, Princeton Univ. Press (1968) MR0239612
25 K Miyazaki, A note on genera of band sums that are fibered, J. Knot Theory Ramifications 27 (2018) MR3876350
26 C D Papakyriakopoulos, On Dehn’s lemma and the asphericity of knots, Ann. of Math. 66 (1957) 1 MR90053
27 M Scharlemann, Smooth spheres in 4 with four critical points are standard, Invent. Math. 79 (1985) 125 MR774532
28 M Scharlemann, A Thompson, Link genus and the Conway moves, Comment. Math. Helv. 64 (1989) 527 MR1022995
29 J Stallings, On topologically unknotted spheres, Ann. of Math. 77 (1963) 490 MR149458
30 S Suzuki, Knotting problems of 2–spheres in 4–sphere, Math. Sem. Notes Kobe Univ. 4 (1976) 241 MR445508
31 E C Zeeman, Twisting spun knots, Trans. Amer. Math. Soc. 115 (1965) 471 MR195085