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Nonorientable link cobordisms and torsion order in Floer homologies

Sherry Gong and Marco Marengon

Algebraic & Geometric Topology 23 (2023) 2627–2672
Bibliography
1 A Alishahi, E Eftekhary, Knot Floer homology and the unknotting number, Geom. Topol. 24 (2020) 2435 MR4194296
2 S Baader, Scissor equivalence for torus links, Bull. Lond. Math. Soc. 44 (2012) 1068 MR2975163
3 J Batson, Nonorientable slice genus can be arbitrarily large, Math. Res. Lett. 21 (2014) 423 MR3272020
4 C Caprau, N González, C R S Lee, A M Lowrance, R Sazdanović, M Zhang, On Khovanov homology and related invariants, from: "Research directions in symplectic and contact geometry and topology" (editors B Acu, C Cannizzo, D McDuff, Z Myer, Y Pan, L Traynor), Assoc. Women Math. Ser. 27, Springer (2021) 273 MR4417719
5 A Daemi, T Lidman, D S Vela-Vick, C M M Wong, Ribbon homology cobordisms, Adv. Math. 408 (2022) MR4467148
6 I Dai, C Manolescu, Involutive Heegaard Floer homology and plumbed three-manifolds, J. Inst. Math. Jussieu 18 (2019) 1115 MR4021102
7 H Fan, Unoriented cobordism maps on link Floer homology, PhD thesis, University of California, Los Angeles (2019)
8 M Golla, M Marengon, Correction terms and the nonorientable slice genus, Michigan Math. J. 67 (2018) 59 MR3770853
9 J Hoste, Y Nakanishi, K Taniyama, Unknotting operations involving trivial tangles, Osaka J. Math. 27 (1990) 555 MR1075165
10 A Juhász, Cobordisms of sutured manifolds and the functoriality of link Floer homology, Adv. Math. 299 (2016) 940 MR3519484
11 A Juhász, M Miller, I Zemke, Knot cobordisms, bridge index, and torsion in Floer homology, J. Topol. 13 (2020) 1701 MR4186142
12 A Juhász, I Zemke, New Heegaard Floer slice genus and clasp number bounds, preprint (2020) arXiv:2007.07106
13 S Kang, Link homology theories and ribbon concordances, Quantum Topol. 13 (2022) 183 MR4404800
14 P B Kronheimer, T S Mrowka, Khovanov homology is an unknot-detector, Publ. Math. Inst. Hautes Études Sci. 113 (2011) 97 MR2805599
15 P B Kronheimer, T S Mrowka, Knot homology groups from instantons, J. Topol. 4 (2011) 835 MR2860345
16 P B Kronheimer, T S Mrowka, A deformation of instanton homology for webs, Geom. Topol. 23 (2019) 1491 MR3956896
17 P B Kronheimer, T S Mrowka, Instantons and Bar-Natan homology, Compos. Math. 157 (2021) 484 MR4236193
18 P B Kronheimer, T S Mrowka, Instantons and some concordance invariants of knots, J. Lond. Math. Soc. 104 (2021) 541 MR4311103
19 T Y Lam, K H Leung, On the cyclotomic polynomial Φpq(X), Amer. Math. Monthly 103 (1996) 562 MR1404079
20 H W Lenstra Jr., Vanishing sums of roots of unity, from: "Proc. Bicentennial Congress Wiskundig Genootschap, II" (editors P C Baayen, D van Dulst, J Oosterhoff), Math. Centre Tracts 101, Math. Centrum (1979) 249 MR541398
21 A S Levine, I Zemke, Khovanov homology and ribbon concordances, Bull. Lond. Math. Soc. 51 (2019) 1099 MR4041014
22 W B R Lickorish, Unknotting by adding a twisted band, Bull. London Math. Soc. 18 (1986) 613 MR859958
23 M Miller, I Zemke, Knot Floer homology and strongly homotopy-ribbon concordances, Math. Res. Lett. 28 (2021) 849 MR4270275
24 A Némethi, On the Ozsváth–Szabó invariant of negative definite plumbed 3–manifolds, Geom. Topol. 9 (2005) 991 MR2140997
25 P S Ozsváth, A I Stipsicz, Z Szabó, Concordance homomorphisms from knot Floer homology, Adv. Math. 315 (2017) 366 MR3667589
26 P S Ozsváth, A I Stipsicz, Z Szabó, Unoriented knot Floer homology and the unoriented four-ball genus, Int. Math. Res. Not. 2017 (2017) 5137 MR3694597
27 P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
28 P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
29 P Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds, Adv. Math. 202 (2006) 326 MR2222356
30 S Sarkar, Moving basepoints and the induced automorphisms of link Floer homology, Algebr. Geom. Topol. 15 (2015) 2479 MR3426686
31 S Sarkar, Ribbon distance and Khovanov homology, Algebr. Geom. Topol. 20 (2020) 1041 MR4092319
32 I Zemke, Quasistabilization and basepoint moving maps in link Floer homology, Algebr. Geom. Topol. 17 (2017) 3461 MR3709653
33 I Zemke, Knot Floer homology obstructs ribbon concordance, Ann. of Math. 190 (2019) 931 MR4024565
34 I Zemke, Link cobordisms and absolute gradings on link Floer homology, Quantum Topol. 10 (2019) 207 MR3950650
35 I Zemke, Link cobordisms and functoriality in link Floer homology, J. Topol. 12 (2019) 94 MR3905679