Algebraic & Geometric Topology Volume 21, issue 6 (2021)

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

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Ascent concordance

William Rushworth

Algebraic & Geometric Topology 21 (2021) 3073–3106

DOI: 10.2140/agt.2021.21.3073

Bibliography

1	M M Asaeda, J H Przytycki, A S Sikora, Categorification of the Kauffman bracket skein module of I–bundles over surfaces, Algebr. Geom. Topol. 4 (2004) 1177 MR2113902
2	K L Baker, A note on the concordance of fibered knots, J. Topol. 9 (2016) 1 MR3465837
3	D Bar-Natan, S Morrison, The Karoubi envelope and Lee’s degeneration of Khovanov homology, Algebr. Geom. Topol. 6 (2006) 1459 MR2253455
4	H U Boden, M Nagel, Concordance group of virtual knots, Proc. Amer. Math. Soc. 145 (2017) 5451 MR3717970
5	H A Dye, A Kaestner, L H Kauffman, Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots, J. Knot Theory Ramifications 26 (2017) MR3627701
6	C M Gordon, Ribbon concordance of knots in the 3–sphere, Math. Ann. 257 (1981) 157 MR634459
7	K Hayden, Cross-sections of unknotted ribbon disks and algebraic curves, Compos. Math. 155 (2019) 413 MR3910456
8	L H Kauffman, Virtual knot cobordism, from: "New ideas in low dimensional topology" (editors L H Kauffman, V O Manturov), Ser. Knots Everything 56, World Sci. (2015) 335 MR3381329
9	L H Kauffman, S Lambropoulou, Hard unknots and collapsing tangles, from: "Introductory lectures on knot theory" (editors L H Kauffman, S Lambropoulou, S Jablan, J H Przytycki), Ser. Knots Everything 46, World Sci. (2012) 187 MR2885236
10	P B Kronheimer, T S Mrowka, A deformation of instanton homology for webs, Geom. Topol. 23 (2019) 1491 MR3956896
11	P B Kronheimer, T S Mrowka, Tait colorings, and an instanton homology for webs and foams, J. Eur. Math. Soc. 21 (2019) 55 MR3880205
12	E S Lee, An endomorphism of the Khovanov invariant, Adv. Math. 197 (2005) 554 MR2173845
13	A S Levine, I Zemke, Khovanov homology and ribbon concordances, Bull. Lond. Math. Soc. 51 (2019) 1099 MR4041014
14	C Livingston, S Naik, Introduction to knot concordance, book project (2016)
15	V O Manturov, Khovanov homology for virtual knots with arbitrary coefficients, J. Knot Theory Ramifications 16 (2007) 345 MR2320160
16	V O Manturov, W Rushworth, Additional gradings on generalizations of Khovanov homology and invariants of embedded surfaces, J. Knot Theory Ramifications 27 (2018) MR3848631
17	K Miyazaki, Band-sums are ribbon concordant to the connected sum, Proc. Amer. Math. Soc. 126 (1998) 3401 MR1451821
18	K Miyazaki, A note on genera of band sums that are fibered, J. Knot Theory Ramifications 27 (2018) MR3876350
19	H Queffelec, P Wedrich, Khovanov homology and categorification of skein modules, Quantum Topol. 12 (2021) 129 MR4233203
20	J Rasmussen, Khovanov homology and the slice genus, Invent. Math. 182 (2010) 419 MR2729272
21	W Rushworth, Doubled Khovanov homology, Canad. J. Math. 70 (2018) 1130 MR3831917
22	D Tubbenhauer, Virtual Khovanov homology using cobordisms, J. Knot Theory Ramifications 23 (2014) MR3268982
23	V Turaev, Cobordism of knots on surfaces, J. Topol. 1 (2008) 285 MR2399131
24	V Turaev, P Turner, Unoriented topological quantum field theory and link homology, Algebr. Geom. Topol. 6 (2006) 1069 MR2253441
25	I Zemke, Knot Floer homology obstructs ribbon concordance, Ann. of Math. 190 (2019) 931 MR4024565