Geometry & Topology Volume 22, issue 5 (2018)

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Categorified Young symmetrizers and stable homology of torus links

Matthew Hogancamp

Geometry & Topology 22 (2018) 2943–3002

DOI: 10.2140/gt.2018.22.2943

Bibliography

1	M Abel, M Hogancamp, Categorified Young symmetrizers and stable homology of torus links, II, Selecta Math. 23 (2017) 1739 MR3663594
2	H Becker, Khovanov–Rozansky homology via Cohen–Macaulay approximations and Soergel bimodules, preprint (2011) arXiv:1105.0702
3	M Boyarchenko, V Drinfeld, Character sheaves on unipotent groups in positive characteristic: foundations, Selecta Math. 20 (2014) 125 MR3147415
4	S Cautis, Clasp technology to knot homology via the affine Grassmannian, Math. Ann. 363 (2015) 1053 MR3412353
5	S Cautis, Clasp technology to knot homology via the affine Grassmannian, Math. Ann. 363 (2015) 1053 MR3412353
6	I Cherednik, Jones polynomials of torus knots via DAHA, Int. Math. Res. Not. 2013 (2013) 5366 MR3142259
7	B Cooper, V Krushkal, Categorification of the Jones–Wenzl projectors, Quantum Topol. 3 (2012) 139 MR2901969
8	D Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980) 35 MR570778
9	B Elias, M Hogancamp, On the computation of torus link homology, preprint (2016) arXiv:1603.00407
10	B Elias, M Hogancamp, Categorical diagonalization, preprint (2017) arXiv:1707.04349
11	B Elias, M Hogancamp, Categorical diagonalization of full twists, preprint (2018) arXiv:1801.00191
12	B Elias, M Khovanov, Diagrammatics for Soergel categories, Int. J. Math. Math. Sci. (2010) MR3095655
13	B Elias, G Williamson, The Hodge theory of Soergel bimodules, Ann. of Math. 180 (2014) 1089 MR3245013
14	E Gorsky, A Neguţ, Refined knot invariants and Hilbert schemes, J. Math. Pures Appl. 104 (2015) 403 MR3383172
15	E Gorsky, A Neguţ, J Rasmussen, Flag Hilbert schemes, colored projectors and Khovanov–Rozansky homology, preprint (2016) arXiv:1608.07308
16	E Gorsky, A Oblomkov, J Rasmussen, On stable Khovanov homology of torus knots, Exp. Math. 22 (2013) 265 MR3171092
17	E Gorsky, A Oblomkov, J Rasmussen, V Shende, Torus knots and the rational DAHA, Duke Math. J. 163 (2014) 2709 MR3273582
18	A Gyoja, A q–analogue of Young symmetrizer, Osaka J. Math. 23 (1986) 841 MR873212
19	M Hogancamp, A polynomial action on colored 𝔰𝔩₂ link homology, preprint (2014) arXiv:1405.2574
20	M Hogancamp, Idempotents in triangulated monoidal categories, preprint (2017) arXiv:1703.01001
21	M Khovanov, Triply-graded link homology and Hochschild homology of Soergel bimodules, Internat. J. Math. 18 (2007) 869 MR2339573
22	M Khovanov, L Rozansky, Matrix factorizations and link homology, Fund. Math. 199 (2008) 1 MR2391017
23	M Khovanov, L Rozansky, Matrix factorizations and link homology, II, Geom. Topol. 12 (2008) 1387 MR2421131
24	D Krasner, Integral HOMFLY-PT and sl(n)–link homology, Int. J. Math. Math. Sci. (2010) MR2726290
25	W B R Lickorish, An introduction to knot theory, 175, Springer (1997) MR1472978
26	D Maulik, Stable pairs and the HOMFLY polynomial, Invent. Math. 204 (2016) 787 MR3502065
27	S Nawata, A Oblomkov, Lectures on knot homology, from: "Physics and mathematics of link homology" (editors M Khovanov, J Walcher), Contemp. Math. 680, Amer. Math. Soc. (2016) 137 MR3591645
28	A Oblomkov, J Rasmussen, V Shende, The Hilbert scheme of a plane curve singularity and the HOMFLY homology of its link, Geom. Topol. 22 (2018) 645 MR3748677
29	A Oblomkov, V Shende, The Hilbert scheme of a plane curve singularity and the HOMFLY polynomial of its link, Duke Math. J. 161 (2012) 1277 MR2922375
30	H Queffelec, D E V Rose, The 𝔰𝔩_n foam 2–category : a combinatorial formulation of Khovanov–Rozansky homology via categorical skew Howe duality, Adv. Math. 302 (2016) 1251 MR3545951
31	J Rasmussen, Some differentials on Khovanov–Rozansky homology, Geom. Topol. 19 (2015) 3031 MR3447099
32	D E V Rose, A categorification of quantum 𝔰𝔩₃ projectors and the 𝔰𝔩₃ Reshetikhin–Turaev invariant of tangles, Quantum Topol. 5 (2014) 1 MR3176309
33	L Rozansky, An infinite torus braid yields a categorified Jones–Wenzl projector, Fund. Math. 225 (2014) 305 MR3205575
34	E H Spanier, Algebraic topology, Springer (1981) MR666554
35	B Webster, G Williamson, A geometric construction of colored HOMFLYPT homology, Geom. Topol. 21 (2017) 2557 MR3687104