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Anchored foams and annular homology

Rostislav Akhmechet and Mikhail Khovanov

Algebraic & Geometric Topology 23 (2023) 3129–3204
Bibliography
1 R Akhmechet, Equivariant annular Khovanov homology, J. Knot Theory Ramifications 32 (2023) 2350002 MR4564614
2 M M Asaeda, J H Przytycki, A S Sikora, Categorification of the Kauffman bracket skein module of I–bundles over surfaces, Algebr. Geom. Topol. 4 (2004) 1177 MR2113902
3 J A Baldwin, J E Grigsby, Categorified invariants and the braid group, Proc. Amer. Math. Soc. 143 (2015) 2801 MR3336606
4 D Bar-Natan, Khovanov’s homology for tangles and cobordisms, Geom. Topol. 9 (2005) 1443 MR2174270
5 A Beliakova, K K Putyra, S M Wehrli, Quantum link homology via trace functor, I, Invent. Math. 215 (2019) 383 MR3910068
6 C Blanchet, N Habegger, G Masbaum, P Vogel, Topological quantum field theories derived from the Kauffman bracket, Topology 34 (1995) 883 MR1362791
7 J Boerner, A homology theory for framed links in I–bundles using embedded surfaces, Topology Appl. 156 (2008) 375 MR2475122
8 J T C Boerner, Khovanov homology in thickened surfaces, PhD thesis, The University of Iowa (2010) MR2941441
9 D Boozer, Computer bounds for Kronheimer–Mrowka foam evaluation, preprint (2019) arXiv:1908.07133
10 D Clark, Functoriality for the 𝔰𝔲3 Khovanov homology, Algebr. Geom. Topol. 9 (2009) 625 MR2482322
11 J E Grigsby, A M Licata, S M Wehrli, Annular Khovanov–Lee homology, braids, and cobordisms, Pure Appl. Math. Q. 13 (2017) 389 MR3882203
12 J E Grigsby, A M Licata, S M Wehrli, Annular Khovanov homology and knotted Schur–Weyl representations, Compos. Math. 154 (2018) 459 MR3731256
13 J E Grigsby, Y Ni, Sutured Khovanov homology distinguishes braids from other tangles, Math. Res. Lett. 21 (2014) 1263 MR3335847
14 M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
15 M Khovanov, 𝔰𝔩(3) link homology, Algebr. Geom. Topol. 4 (2004) 1045 MR2100691
16 M Khovanov, N Kitchloo, A deformation of Robert–Wagner foam evaluation and link homology, preprint (2020) arXiv:2004.14197
17 M Khovanov, L H Robert, Conical SL(3) foams, preprint (2020) arXiv:2011.11077
18 M Khovanov, L H Robert, Foam evaluation and Kronheimer–Mrowka theories, Adv. Math. 376 (2021) 107433 MR4178907
19 M Khovanov, L H Robert, Link homology and Frobenius extensions, II, Fund. Math. 256 (2022) 1 MR4361584
20 M Khovanov, L Rozansky, Matrix factorizations and link homology, Fund. Math. 199 (2008) 1 MR2391017
21 P B Kronheimer, T S Mrowka, Exact triangles for SO(3) instanton homology of webs, J. Topol. 9 (2016) 774 MR3551837
22 P B Kronheimer, T S Mrowka, A deformation of instanton homology for webs, Geom. Topol. 23 (2019) 1491 MR3956896
23 P B Kronheimer, T S Mrowka, Tait colorings, and an instanton homology for webs and foams, J. Eur. Math. Soc. 21 (2019) 55 MR3880205
24 G Kuperberg, Spiders for rank 2 Lie algebras, Comm. Math. Phys. 180 (1996) 109 MR1403861
25 R Lipshitz, S Sarkar, Khovanov homology of strongly invertible knots and their quotients, preprint (2022) arXiv:2203.13895
26 M Mackaay, 𝔰𝔩3–foams and the Khovanov–Lauda categorification of quantum 𝔰𝔩k, preprint (2009) arXiv:0905.2059
27 M Mackaay, W Pan, D Tubbenhauer, The 𝔰𝔩3–web algebra, Math. Z. 277 (2014) 401 MR3205780
28 M Mackaay, P Vaz, The universal sl3–link homology, Algebr. Geom. Topol. 7 (2007) 1135 MR2336253
29 S Morrison, A Nieh, On Khovanov’s cobordism theory for 𝔰𝔲3 knot homology, J. Knot Theory Ramifications 17 (2008) 1121 MR2457839
30 H Queffelec, D E V Rose, Sutured annular Khovanov–Rozansky homology, Trans. Amer. Math. Soc. 370 (2018) 1285 MR3729501
31 H Queffelec, D E V Rose, A Sartori, Annular evaluation and link homology, preprint (2018) arXiv:1802.04131
32 H Queffelec, P Wedrich, Khovanov homology and categorification of skein modules, Quantum Topol. 12 (2021) 129 MR4233203
33 L H Robert, Sur l’homologie 𝔰𝔩3 des enchevêtrement ; algèbre de Khovanov–Kuperberg, PhD thesis, Université Paris Diderot (2013)
34 L H Robert, E Wagner, A closed formula for the evaluation of foams, Quantum Topol. 11 (2020) 411 MR4164001
35 L P Roberts, On knot Floer homology in double branched covers, Geom. Topol. 17 (2013) 413 MR3035332
36 D E V Rose, P Wedrich, Deformations of colored 𝔰𝔩N link homologies via foams, Geom. Topol. 20 (2016) 3431 MR3590355
37 T Sano, Fixing the functoriality of Khovanov homology : a simple approach, J. Knot Theory Ramifications 30 (2021) 2150074 MR4376719