Algebraic & Geometric Topology Volume 22, issue 8 (2022)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Relative Khovanov–Jacobsson classes

Isaac Sundberg and Jonah Swann

Algebraic & Geometric Topology 22 (2022) 3983–4008

DOI: 10.2140/agt.2022.22.3983

Bibliography

1	D Bar-Natan, On Khovanov’s categorification of the Jones polynomial, Algebr. Geom. Topol. 2 (2002) 337 MR1917056
2	D Bar-Natan, Khovanov’s homology for tangles and cobordisms, Geom. Topol. 9 (2005) 1443 MR2174270
3	J S Carter, M Saito, S Satoh, Ribbon-moves for 2–knots with 1–handles attached and Khovanov–Jacobsson numbers, Proc. Amer. Math. Soc. 134 (2006) 2779 MR2213759
4	A Conway, M Powell, Characterisation of homotopy ribbon discs, Adv. Math. 391 (2021) MR4300918
5	A Elliott, Graphical methods establishing nontriviality of state cycle Khovanov homology classes, preprint (2009) arXiv:0907.0396
6	A Elliott, State cycles, quasipositive modification, and constructing H–thick knots in Khovanov homology, PhD thesis, Rice University (2010) MR2782376
7	J Greene, S Jabuka, The slice-ribbon conjecture for 3–stranded pretzel knots, Amer. J. Math. 133 (2011) 555 MR2808326
8	O S Gujral, A S Levine, Khovanov homology and cobordisms between split links, J. Topol. 15 (2022) 973 MR4442680
9	M Jacobsson, An invariant of link cobordisms from Khovanov homology, Algebr. Geom. Topol. 4 (2004) 1211 MR2113903
10	A Juhász, M Marengon, Concordance maps in knot Floer homology, Geom. Topol. 20 (2016) 3623 MR3590358
11	A Juhász, I Zemke, Distinguishing slice disks using knot Floer homology, Selecta Math. 26 (2020) MR4045151
12	M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
13	M Khovanov, An invariant of tangle cobordisms, Trans. Amer. Math. Soc. 358 (2006) 315 MR2171235
14	R C Kirby, W B R Lickorish, Prime knots and concordance, Math. Proc. Cambridge Philos. Soc. 86 (1979) 437 MR542689
15	A S Levine, I Zemke, Khovanov homology and ribbon concordances, Bull. Lond. Math. Soc. 51 (2019) 1099 MR4041014
16	A N Miller, M Powell, Stabilization distance between surfaces, Enseign. Math. 65 (2019) 397 MR4113047
17	J Rasmussen, Khovanov’s invariant for closed surfaces, preprint (2005) arXiv:math/0502527
18	J Swann, Relative Khovanov–Jacobsson classes for spanning surfaces, PhD thesis, Bryn Mawr College (2010)
19	K Tanaka, Khovanov–Jacobsson numbers and invariants of surface-knots derived from Bar-Natan’s theory, Proc. Amer. Math. Soc. 134 (2006) 3685 MR2240683