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The cosmetic crossing conjecture for split links

Joshua Wang

Geometry & Topology 26 (2022) 2941–3053
Bibliography
1 A S Alishahi, E Eftekhary, A refinement of sutured Floer homology, J. Symplectic Geom. 13 (2015) 609 MR3412088
2 J A Baldwin, M Hedden, A Lobb, On the functoriality of Khovanov–Floer theories, Adv. Math. 345 (2019) 1162 MR3903915
3 J A Baldwin, S Sivek, Naturality in sutured monopole and instanton homology, J. Differential Geom. 100 (2015) 395 MR3352794
4 J A Baldwin, S Sivek, Instanton Floer homology and contact structures, Selecta Math. 22 (2016) 939 MR3477339
5 J A Baldwin, S Sivek, Khovanov homology detects the trefoils, Duke Math. J. 171 (2022) 885 MR4393789
6 C Balm, S Friedl, E Kalfagianni, M Powell, Cosmetic crossings and Seifert matrices, Comm. Anal. Geom. 20 (2012) 235 MR2928712
7 C J Balm, E Kalfagianni, Knots without cosmetic crossings, Topology Appl. 207 (2016) 33 MR3501264
8 D Bar-Natan, On Khovanov’s categorification of the Jones polynomial, Algebr. Geom. Topol. 2 (2002) 337 MR1917056
9 D Bar-Natan, Khovanov’s homology for tangles and cobordisms, Geom. Topol. 9 (2005) 1443 MR2174270
10 A Daemi, T Lidman, D S Vela-Vick, C M M Wong, Ribbon homology cobordisms, Adv. Math. 408 (2022) MR4467148
11 J B Etnyre, D S Vela-Vick, R Zarev, Sutured Floer homology and invariants of Legendrian and transverse knots, Geom. Topol. 21 (2017) 1469 MR3650078
12 A Floer, An instanton-invariant for 3–manifolds, Comm. Math. Phys. 118 (1988) 215 MR956166
13 A Floer, Instanton homology, surgery, and knots, from: "Geometry of low-dimensional manifolds, I" (editors S K Donaldson, C B Thomas), London Math. Soc. Lecture Note Ser. 150, Cambridge Univ. Press (1990) 97 MR1171893
14 D Gabai, Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445 MR723813
15 D Gabai, Foliations and the topology of 3–manifolds, II, J. Differential Geom. 26 (1987) 461 MR910017
16 D Gabai, Genus is superadditive under band connected sum, Topology 26 (1987) 209 MR895573
17 S Ghosh, Z Li, Decomposing sutured monopole and Instanton Floer homologies, preprint (2019) arXiv:1910.10842
18 S Ghosh, Z Li, C M M Wong, On the tau invariants in instanton and monopole Floer theories, preprint (2019) arXiv:1910.01758
19 E Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. Math. 141 (2000) 615 MR1779622
20 M Hedden, L Watson, On the geography and botany of knot Floer homology, Selecta Math. 24 (2018) 997 MR3782416
21 K Honda, On the classification of tight contact structures, I, Geom. Topol. 4 (2000) 309 MR1786111
22 K Honda, Gluing tight contact structures, Duke Math. J. 115 (2002) 435 MR1940409
23 K Honda, W H Kazez, G Matic, Contact structures, sutured Floer homology and TQFT, preprint (2008) arXiv:0807.2431
24 M Jacobsson, An invariant of link cobordisms from Khovanov homology, Algebr. Geom. Topol. 4 (2004) 1211 MR2113903
25 A Juhász, Holomorphic discs and sutured manifolds, Algebr. Geom. Topol. 6 (2006) 1429 MR2253454
26 A Juhász, Floer homology and surface decompositions, Geom. Topol. 12 (2008) 299 MR2390347
27 A Juhász, The sutured Floer homology polytope, Geom. Topol. 14 (2010) 1303 MR2653728
28 A Juhász, Cobordisms of sutured manifolds and the functoriality of link Floer homology, Adv. Math. 299 (2016) 940 MR3519484
29 A Juhász, M Marengon, Concordance maps in knot Floer homology, Geom. Topol. 20 (2016) 3623 MR3590358
30 A Juhász, I Zemke, Contact handles, duality, and sutured Floer homology, Geom. Topol. 24 (2020) 179 MR4080483
31 E Kalfagianni, Cosmetic crossing changes of fibered knots, J. Reine Angew. Math. 669 (2012) 151 MR2980586
32 N Kavi, Cutting and gluing surfaces, preprint (2019) arXiv:1910.11954
33 M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
34 R Kirby, Problems in low-dimensional topology, from: "Geometric topology", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
35 T Kobayashi, Fibered links which are band connected sum of two links, from: "Knots 90" (editor A Kawauchi), de Gruyter (1992) 9 MR1177410
36 P Kronheimer, T Mrowka, Instanton Floer homology and the Alexander polynomial, Algebr. Geom. Topol. 10 (2010) 1715 MR2683750
37 P Kronheimer, T Mrowka, Knots, sutures, and excision, J. Differential Geom. 84 (2010) 301 MR2652464
38 P B Kronheimer, T S Mrowka, Khovanov homology is an unknot-detector, Publ. Math. Inst. Hautes Études Sci. 113 (2011) 97 MR2805599
39 P Kronheimer, T Mrowka, Filtrations on instanton homology, Quantum Topol. 5 (2014) 61 MR3176310
40 P B Kronheimer, T S Mrowka, Tait colorings, and an instanton homology for webs and foams, J. Eur. Math. Soc. 21 (2019) 55 MR3880205
41 A S Levine, I Zemke, Khovanov homology and ribbon concordances, Bull. Lond. Math. Soc. 51 (2019) 1099 MR4041014
42 Z Li, Gluing maps and cobordism maps for sutured monopole Floer homology, preprint (2018) arXiv:1810.13071
43 Z Li, Knot homologies in monopole and instanton theories via sutures, J. Symplectic Geom. 19 (2021) 1339 MR4450625
44 T Lidman, A H Moore, Cosmetic surgery in L-spaces and nugatory crossings, Trans. Amer. Math. Soc. 369 (2017) 3639 MR3605982
45 Y Lim, Instanton homology and the Alexander polynomial, Proc. Amer. Math. Soc. 138 (2010) 3759 MR2661575
46 C Manolescu, P Ozsváth, Heegaard Floer homology and integer surgeries on links, preprint (2010) arXiv:1011.1317
47 K Miyazaki, Band-sums are ribbon concordant to the connected sum, Proc. Amer. Math. Soc. 126 (1998) 3401 MR1451821
48 K Miyazaki, When is a band-connected sum equal to the connected sum?, Topology Appl. 272 (2020) MR4058258
49 A H Moore, Symmetric unions without cosmetic crossing changes, from: "Advances in the mathematical sciences" (editors G Letzter, K Lauter, E Chambers, N Flournoy, J E Grigsby, C Martin, K Ryan, K Trivisa), Assoc. Women Math. Ser. 6, Springer (2016) 103 MR3654492
50 V Muñoz, Ring structure of the Floer cohomology of Σ × S1, Topology 38 (1999) 517 MR1670396
51 Y Ni, Knot Floer homology detects fibred knots, Invent. Math. 170 (2007) 577 MR2357503
52 B Ozbagci, Contact handle decompositions, Topology Appl. 158 (2011) 718 MR2774055
53 P S Ozsváth, J Rasmussen, Z Szabó, Odd Khovanov homology, Algebr. Geom. Topol. 13 (2013) 1465 MR3071132
54 P S Ozsváth, A I Stipsicz, Z Szabó, Grid homology for knots and links, 208, Amer. Math. Soc. (2015) MR3381987
55 P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
56 P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
57 P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
58 P Ozsváth, Z Szabó, On the skein exact squence for knot Floer homology, preprint (2007) arXiv:0707.1165
59 P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615 MR2443092
60 P Ozsváth, Z Szabó, Link Floer homology and the Thurston norm, J. Amer. Math. Soc. 21 (2008) 671 MR2393424
61 J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) arXiv:math/0306378 MR2704683
62 J Rasmussen, Knot polynomials and knot homologies, from: "Geometry and topology of manifolds" (editors H U Boden, I Hambleton, A J Nicas, B D Park), Fields Inst. Commun. 47, Amer. Math. Soc. (2005) 261 MR2189938
63 A N Shumakovitch, Torsion of Khovanov homology, Fund. Math. 225 (2014) 343 MR3205577
64 A Thompson, Property P for the band-connect sum of two knots, Topology 26 (1987) 205 MR895572
65 I Torisu, On nugatory crossings for knots, Topology Appl. 92 (1999) 119 MR1669827
66 I Zemke, Knot Floer homology obstructs ribbon concordance, Ann. of Math. 190 (2019) 931 MR4024565
67 I Zemke, Link cobordisms and absolute gradings on link Floer homology, Quantum Topol. 10 (2019) 207 MR3950650
68 I Zemke, Link cobordisms and functoriality in link Floer homology, J. Topol. 12 (2019) 94 MR3905679