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

Volume 30
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388

Volume 29, 9 issues

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Linear independence of rationally slice knots

Jennifer Hom, Sungkyung Kang, JungHwan Park and Matthew Stoffregen

Geometry & Topology 26 (2022) 3143–3172
Bibliography
1 A Alishahi, E Eftekhary, Knot Floer homology and the unknotting number, Geom. Topol. 24 (2020) 2435 MR4194296
2 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
3 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
4 J C Cha, The structure of the rational concordance group of knots, 885, Amer. Math. Soc. (2007) MR2343079
5 J C Cha, K H Ko, Signatures of links in rational homology spheres, Topology 41 (2002) 1161 MR1923217
6 I Dai, J Hom, M Stoffregen, L Truong, An infinite-rank summand of the homology cobordism group, preprint (2018) arXiv:1810.06145
7 I Dai, J Hom, M Stoffregen, L Truong, More concordance homomorphisms from knot Floer homology, Geom. Topol. 25 (2021) 275 MR4226231
8 R Fintushel, R J Stern, A μ–invariant one homology 3–sphere that bounds an orientable rational ball, from: "Four-manifold theory" (editors C Gordon, R Kirby), Contemp. Math. 35, Amer. Math. Soc. (1984) 265 MR780582
9 J Hanselman, J Rasmussen, L Watson, Bordered Floer homology for manifolds with torus boundary via immersed curves, preprint (2016) arXiv:1604.03466
10 J Hanselman, J Rasmussen, L Watson, Heegaard Floer homology for manifolds with torus boundary: properties and examples, preprint (2018) arXiv:1810.10355
11 J Hanselman, L Watson, Cabling in terms of immersed curves, (2019) arXiv:1908.04397
12 J C Hausmann, Noeuds antisimples, from: "Knot theory" (editor J C Hausmann), Lecture Notes in Math. 685, Springer (1978) 171 MR521733
13 K Hendricks, J Hom, T Lidman, Applications of involutive Heegaard Floer homology, J. Inst. Math. Jussieu 20 (2021) 187 MR4205781
14 K Hendricks, J Hom, M Stoffregen, I Zemke, Surgery exact triangles in involutive Heegaard Floer homology, preprint (2020) arXiv:2011.00113
15 K Hendricks, C Manolescu, Involutive Heegaard Floer homology, Duke Math. J. 166 (2017) 1211 MR3649355
16 J Hom, The knot Floer complex and the smooth concordance group, Comment. Math. Helv. 89 (2014) 537 MR3260841
17 J Hom, Z Wu, Four-ball genus bounds and a refinement of the Ozváth–Szabó tau invariant, J. Symplectic Geom. 14 (2016) 305 MR3523259
18 A Kawauchi, Rational-slice knots via strongly negative-amphicheiral knots, Commun. Math. Res. 25 (2009) 177 MR2554510
19 M A Kervaire, Les nœuds de dimensions supérieures, Bull. Soc. Math. France 93 (1965) 225 MR189052
20 M H Kim, Z Wu, On rational sliceness of Miyazaki’s fibered, -amphicheiral knots, Bull. Lond. Math. Soc. 50 (2018) 462 MR3829733
21 S G Kim, C Livingston, Secondary upsilon invariants of knots, Q. J. Math. 69 (2018) 799 MR3859208
22 A Kotelskiy, L Watson, C Zibrowius, A mnemonic for the Lipshitz–Ozsváth–Thurston correspondence, (2020) arXiv:2005.02792
23 P B Kronheimer, T S Mrowka, Gauge theory and Rasmussen’s invariant, J. Topol. 6 (2013) 659 MR3100886
24 J Levine, Invariants of knot cobordism, Invent. Math. 8 (1969) 98, 355 MR253348
25 J Levine, Knot cobordism groups in codimension two, Comment. Math. Helv. 44 (1969) 229 MR246314
26 L Lewark, A Lobb, Upsilon-like concordance invariants from 𝔰𝔩n knot cohomology, Geom. Topol. 23 (2019) 745 MR3939052
27 R Lipshitz, P S Ozsváth, D P Thurston, Bordered Heegaard Floer homology, 1216, Amer. Math. Soc. (2018) MR3827056
28 A Lobb, A slice genus lower bound from sl(n) Khovanov–Rozansky homology, Adv. Math. 222 (2009) 1220 MR2554935
29 A Lobb, A note on Gornik’s perturbation of Khovanov–Rozansky homology, Algebr. Geom. Topol. 12 (2012) 293 MR2916277
30 K Miyazaki, Nonsimple, ribbon fibered knots, Trans. Amer. Math. Soc. 341 (1994) 1 MR1176509
31 P S Ozsváth, A I Stipsicz, Z Szabó, Concordance homomorphisms from knot Floer homology, Adv. Math. 315 (2017) 366 MR3667589
32 P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
33 P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
34 I Petkova, Cables of thin knots and bordered Heegaard Floer homology, Quantum Topol. 4 (2013) 377 MR3134023
35 J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) arXiv:math/0306378 MR2704683
36 J Rasmussen, Khovanov homology and the slice genus, Invent. Math. 182 (2010) 419 MR2729272
37 A G Tristram, Some cobordism invariants for links, Proc. Cambridge Philos. Soc. 66 (1969) 251 MR248854
38 M Usher (editor), Open problems in geometric topology, from: "Low-dimensional and symplectic topology", Proc. Sympos. Pure Math. 82, Amer. Math. Soc. (2011) 215 MR2768661
39 H Wu, On the quantum filtration of the Khovanov–Rozansky cohomology, Adv. Math. 221 (2009) 54 MR2509322
40 I Zemke, Connected sums and involutive knot Floer homology, Proc. Lond. Math. Soc. 119 (2019) 214 MR3957835
41 I Zemke, Link cobordisms and functoriality in link Floer homology, J. Topol. 12 (2019) 94 MR3905679
42 H Zhou, Homology concordance and an infinite rank subgroup, preprint (2020) arXiv:2009.05145