Volume 23, issue 2 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 23
Issue 5, 2165–2700
Issue 4, 1621–2164
Issue 3, 1085–1619
Issue 2, 541–1084
Issue 1, 1–540

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Upsilon-like concordance invariants from $\mathfrak{sl}_n$ knot cohomology

Lukas Lewark and Andrew Lobb

Geometry & Topology 23 (2019) 745–780
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 𝔰𝔩N–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 𝔰𝔩N 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