Algebraic & Geometric Topology Volume 17, issue 6 (2017)

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Remarks on coloured triply graded link invariants

Sabin Cautis

Algebraic & Geometric Topology 17 (2017) 3811–3836

DOI: 10.2140/agt.2017.17.3811

Bibliography

1	M Abel, M Hogancamp, Categorified Young symmetrizers and stable homology of torus links, II, Selecta Math. 23 (2017) 1739 MR3663594
2	V Baranovsky, V Ginzburg, Gerstenhaber–Batalin–Vilkovisky structures on coisotropic intersections, Math. Res. Lett. 17 (2010) 211 MR2644370
3	K Behrend, B Fantechi, Gerstenhaber and Batalin–Vilkovisky structures on Lagrangian intersections, from: "Algebra, arithmetic, and geometry : in honor of Yu I Manin, I" (editors Y Tschinkel, Y Zarhin), Progr. Math. 269, Birkhäuser (2009) 1 MR2641169
4	S Cautis, Rigidity in higher representation theory, preprint (2014) arXiv:1409.0827
5	S Cautis, Clasp technology to knot homology via the affine Grassmannian, Math. Ann. 363 (2015) 1053 MR3412353
6	S Cautis, C Dodd, J Kamnitzer, Associated graded of Hodge modules and categorical 𝔰𝔩₂ actions, preprint (2016) arXiv:1603.07402
7	S Cautis, J Kamnitzer, Knot homology via derived categories of coherent sheaves, I : The 𝔰𝔩(2)–case, Duke Math. J. 142 (2008) 511 MR2411561
8	S Cautis, J Kamnitzer, Braiding via geometric Lie algebra actions, Compos. Math. 148 (2012) 464 MR2904194
9	S Cautis, J Kamnitzer, S Morrison, Webs and quantum skew Howe duality, Math. Ann. 360 (2014) 351 MR3263166
10	S Cautis, A D Lauda, Implicit structure in 2–representations of quantum groups, Selecta Math. 21 (2015) 201 MR3300416
11	N M Dunfield, S Gukov, J Rasmussen, The superpolynomial for knot homologies, Experiment. Math. 15 (2006) 129 MR2253002
12	S Gukov, M Stošić, Homological algebra of knots and BPS states, from: "Proceedings of the Freedman Fest" (editors R Kirby, V Krushkal, Z Wang), Geom. Topol. Monogr. 18, Geom. Topol. Publ. (2012) 309 MR3084243
13	M Hogancamp, Stable homology of torus links via categorified Young symmetrizers, I : One-row partitions, v1, preprint (2015) arXiv:1505.08148v1
14	M Khovanov, Triply-graded link homology and Hochschild homology of Soergel bimodules, Internat. J. Math. 18 (2007) 869 MR2339573
15	M Khovanov, A D Lauda, A categorification of quantum sl(n), Quantum Topol. 1 (2010) 1 MR2628852
16	M Khovanov, L Rozansky, Matrix factorizations and link homology, II, Geom. Topol. 12 (2008) 1387 MR2421131
17	M Khovanov, L Rozansky, Positive half of the Witt algebra acts on triply graded link homology, Quantum Topol. 7 (2016) 737 MR3593567
18	N Kowalzig, U Krähmer, Batalin–Vilkovisky structures on Ext and Tor, J. Reine Angew. Math. 697 (2014) 159 MR3281654
19	G Lusztig, Introduction to quantum groups, 110, Birkhäuser (1993) MR1227098
20	M Mackaay, M Stošić, P Vaz, The 1,2–coloured HOMFLY-PT link homology, Trans. Amer. Math. Soc. 363 (2011) 2091 MR2746676
21	J Rasmussen, Some differentials on Khovanov–Rozansky homology, Geom. Topol. 19 (2015) 3031 MR3447099
22	R Rouquier, 2-Kac–Moody algebras, preprint (2008) arXiv:0812.5023
23	L Rozansky, An infinite torus braid yields a categorified Jones–Wenzl projector, Fund. Math. 225 (2014) 305 MR3205575
24	B Webster, G Williamson, A geometric construction of colored HOMFLYPT homology, Geom. Topol. 21 (2017) 2557 MR3687104
25	P Wedrich, Exponential growth of colored HOMFLY-PT homology, preprint (2016) arXiv:1602.02769