Geometry & Topology Volume 23, issue 2 (2019)

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Upsilon-like concordance invariants from $\mathfrak{sl}_n$ knot cohomology

Lukas Lewark and Andrew Lobb

Geometry & Topology 23 (2019) 745–780

DOI: 10.2140/gt.2019.23.745

Bibliography

1	M Atiyah, On the Krull–Schmidt theorem with application to sheaves, Bull. Soc. Math. France 84 (1956) 307 MR0086358
2	D Bar-Natan, Khovanov’s homology for tangles and cobordisms, Geom. Topol. 9 (2005) 1443 MR2174270
3	M Golla, M Marengon, Correction terms and the nonorientable slice genus, Michigan Math. J. 67 (2018) 59 MR3770853
4	B Gornik, Note on Khovanov link cohomology, preprint (2004) arXiv:math/0402266
5	J Greene, Homologically thin, non-quasi-alternating links, Math. Res. Lett. 17 (2010) 39 MR2592726
6	N Jacobson, Basic algebra, II, W H Freeman (1989) MR1009787
7	T Kawamura, An estimate of the Rasmussen invariant for links and the determination for certain links, Topology Appl. 196 (2015) 558 MR3430998
8	M Khovanov, Link homology and Frobenius extensions, Fund. Math. 190 (2006) 179 MR2232858
9	M Khovanov, L Rozansky, Matrix factorizations and link homology, Fund. Math. 199 (2008) 1 MR2391017
10	D Krasner, Equivariant sl(n)–link homology, Algebr. Geom. Topol. 10 (2010) 1 MR2580427
11	P B Kronheimer, T S Mrowka, Gauge theory and Rasmussen’s invariant, J. Topol. 6 (2013) 659 MR3100886
12	E S Lee, An endomorphism of the Khovanov invariant, preprint (2002) arXiv:math/0210213
13	L Lewark, Rasmussen’s spectral sequences and the 𝔰𝔩_N–concordance invariants, Adv. Math. 260 (2014) 59 MR3209349
14	L Lewark, A Lobb, New quantum obstructions to sliceness, Proc. Lond. Math. Soc. 112 (2016) 81 MR3458146
15	L Lewark, A Lobb, Khoca, computer program (2018)
16	R Lipshitz, S Sarkar, A Khovanov stable homotopy type, J. Amer. Math. Soc. 27 (2014) 983 MR3230817
17	C Livingston, Computations of the Ozsváth–Szabó knot concordance invariant, Geom. Topol. 8 (2004) 735 MR2057779
18	C Livingston, Notes on the knot concordance invariant upsilon, Algebr. Geom. Topol. 17 (2017) 111 MR3604374
19	A Lobb, A slice genus lower bound from sl(n) Khovanov–Rozansky homology, Adv. Math. 222 (2009) 1220 MR2554935
20	A Lobb, Computable bounds for Rasmussen’s concordance invariant, Compos. Math. 147 (2011) 661 MR2776617
21	Y Ni, Z Wu, Cosmetic surgeries on knots in S³, J. Reine Angew. Math. 706 (2015) 1 MR3393360
22	P S Ozsváth, A I Stipsicz, Z Szabó, Concordance homomorphisms from knot Floer homology, Adv. Math. 315 (2017) 366 MR3667589
23	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
24	P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
25	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
26	J Rasmussen, Lens space surgeries and a conjecture of Goda and Teragaito, Geom. Topol. 8 (2004) 1013 MR2087076
27	J Rasmussen, Khovanov homology and the slice genus, Invent. Math. 182 (2010) 419 MR2729272
28	J Rasmussen, Some differentials on Khovanov–Rozansky homology, Geom. Topol. 19 (2015) 3031 MR3447099
29	D E V Rose, P Wedrich, Deformations of colored 𝔰𝔩_N link homologies via foams, Geom. Topol. 20 (2016) 3431 MR3590355
30	L Rudolph, Constructions of quasipositive knots and links, I, from: "Knots, braids and singularities" (editor C Weber), Monogr. Enseign. Math. 31, Enseignement Math. (1983) 233 MR728589
31	P Wedrich, Exponential growth of colored HOMFLY-PT homology, preprint (2016) arXiv:1602.02769
32	H Wu, On the quantum filtration of the Khovanov–Rozansky cohomology, Adv. Math. 221 (2009) 54 MR2509322