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

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Homotopy ribbon discs with a fixed group

Anthony Conway

Algebraic & Geometric Topology 24 (2024) 4575–4587
Bibliography
1 K S Brown, Cohomology of groups, 87, Springer (1982) MR0672956
2 M Cencelj, Y V Muranov, D Repovš, On structure sets of manifold pairs, Homology Homotopy Appl. 11 (2009) 195 MR2591918
3 S Chang, S Weinberger, A course on surgery theory, 211, Princeton Univ. Press (2021) MR4207574
4 A Conway, M Powell, Characterisation of homotopy ribbon discs, Adv. Math. 391 (2021) 107960 MR4300918
5 A Conway, M Powell, Embedded surfaces with infinite cyclic knot group, Geom. Topol. 27 (2023) 739 MR4589564
6 I Dai, A Mallick, M Stoffregen, Equivariant knots and knot Floer homology, J. Topol. 16 (2023) 1167 MR4638003
7 F T Farrell, X Wu, Isomorphism conjecture for Baumslag–Solitar groups, Proc. Amer. Math. Soc. 143 (2015) 3401 MR3348782
8 E M Freden, T Knudson, J Schofield, Growth in Baumslag–Solitar groups, I : Subgroups and rationality, LMS J. Comput. Math. 14 (2011) 34 MR2777003
9 M H Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982) 357 MR0679066
10 M H Freedman, F Quinn, Topology of 4–manifolds, 39, Princeton Univ. Press (1990) MR1201584
11 S Friedl, P Teichner, New topologically slice knots, Geom. Topol. 9 (2005) 2129 MR2209368
12 G Gandini, S Meinert, H Rüping, The Farrell–Jones conjecture for fundamental groups of graphs of abelian groups, Groups Geom. Dyn. 9 (2015) 783 MR3420543
13 C M Gordon, Ribbon concordance of knots in the 3–sphere, Math. Ann. 257 (1981) 157 MR0634459
14 I Hambleton, M Kreck, P Teichner, Topological 4–manifolds with geometrically two-dimensional fundamental groups, J. Topol. Anal. 1 (2009) 123 MR2541758
15 K Hayden, Exotically knotted disks and complex curves, preprint (2020) arXiv:2003.13681
16 K Hayden, Corks, covers, and complex curves, preprint (2021) arXiv:2107.06856
17 K Hayden, I Sundberg, Khovanov homology and exotic surfaces in the 4–ball, preprint (2021) arXiv:2108.04810
18 J A Hillman, Four-manifolds, geometries and knots, 5, Geom. Topol. Publ. (2002) MR1943724
19 J Howie, On locally indicable groups, Math. Z. 180 (1982) 445 MR0667000
20 J Howie, On the asphericity of ribbon disc complements, Trans. Amer. Math. Soc. 289 (1985) 281 MR0779064
21 A Juhász, I Zemke, Distinguishing slice disks using knot Floer homology, Selecta Math. 26 (2020) 5 MR4045151
22 D Kasprowski, M Land, Topological 4–manifolds with 4–dimensional fundamental group, Glasg. Math. J. 64 (2022) 454 MR4404107
23 M H Kim, P Orson, J Park, A Ray, Good groups, from: "The disc embedding theorem" (editors S Behrens, B Kalmár, M H Kim, M Powell, A Ray), Oxford Univ. Press (2021) 273 MR4519517
24 W B R Lickorish, An introduction to knot theory, 175, Springer (1997) MR1472978
25 R Lipshitz, S Sarkar, A mixed invariant of nonorientable surfaces in equivariant Khovanov homology, Trans. Amer. Math. Soc. 375 (2022) 8807 MR4504654
26 W Lück, Assembly maps, from: "Handbook of homotopy theory" (editor H Miller), CRC (2020) 851 MR4198000
27 W Lück, Isomorphism conjectures in K– and L–theory, preprint (2021)
28 M Powell, A Ray, Gropes, towers, and skyscrapers, from: "The disc embedding theorem" (editors S Behrens, B Kalmár, M H Kim, M Powell, A Ray), Oxford Univ. Press (2021) 171 MR4519510
29 F Quinn, A geometric formulation of surgery, from: "Topology of manifolds" (editors J C Cantrell, C H Edwards Jr.), Markham (1970) 500 MR0282375
30 F Quinn, B(TOPn) and the surgery obstruction, Bull. Amer. Math. Soc. 77 (1971) 596 MR0276980
31 A Ranicki, The total surgery obstruction, from: "Algebraic topology" (editors J L Dupont, I H Madsen), Lecture Notes in Math. 763, Springer (1979) 275 MR0561227
32 A Ranicki, Exact sequences in the algebraic theory of surgery, 26, Princeton Univ. Press (1981) MR0620795
33 A A Ranicki, Algebraic L–theory and topological manifolds, 102, Cambridge Univ. Press (1992) MR1211640
34 S Rosebrock, The Whitehead conjecture : an overview, Sib. Èlektron. Mat. Izv. 4 (2007) 440 MR2465444
35 R Strebel, Homological methods applied to the derived series of groups, Comment. Math. Helv. 49 (1974) 302 MR0354896
36 I Sundberg, J Swann, Relative Khovanov–Jacobsson classes, Algebr. Geom. Topol. 22 (2022) 3983 MR4562563
37 J H C Whitehead, On adding relations to homotopy groups, Ann. of Math. 42 (1941) 409 MR0004123