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

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 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
A deformation of Asaeda–Przytycki–Sikora homology

Zhenkun Li, Yi Xie and Boyu Zhang

Algebraic & Geometric Topology 25 (2025) 1545–1560
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 J A Baldwin, N Dowlin, A S Levine, T Lidman, R Sazdanovic, Khovanov homology detects the figure-eight knot, Bull. Lond. Math. Soc. 53 (2021) 871 MR4275096
3 J A Baldwin, Y Hu, S Sivek, Khovanov homology and the cinquefoil, J. Eur. Math. Soc. (2024)
4 J A Baldwin, S Sivek, Khovanov homology detects the trefoils, Duke Math. J. 171 (2022) 885 MR4393789
5 J A Baldwin, S Sivek, Y Xie, Khovanov homology detects the Hopf links, Math. Res. Lett. 26 (2019) 1281 MR4049809
6 D Bar-Natan, On Khovanov’s categorification of the Jones polynomial, Algebr. Geom. Topol. 2 (2002) 337 MR1917056
7 J E Grigsby, S M Wehrli, On the colored Jones polynomial, sutured Floer homology, and knot Floer homology, Adv. Math. 223 (2010) 2114 MR2601010
8 M Hedden, Khovanov homology of the 2-cable detects the unknot, Math. Res. Lett. 16 (2009) 991 MR2576686
9 M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
10 P B Kronheimer, T S Mrowka, Khovanov homology is an unknot-detector, Publ. Math. Inst. Hautes Études Sci. 113 (2011) 97 MR2805599
11 Z Li, Y Xie, B Zhang, On Floer minimal knots in sutured manifolds, Trans. Amer. Math. Soc. Ser. B 9 (2022) 499 MR4432446
12 Z Li, Y Xie, B Zhang, Instanton homology and knot detection on thickened surfaces, Selecta Math. 29 (2023) 84 MR4660292
13 R Lipshitz, S Sarkar, Khovanov homology detects split links, Amer. J. Math. 144 (2022) 1745 MR4521052
14 G Martin, Khovanov homology detects T(2,6), Math. Res. Lett. 29 (2022) 835 MR4516040
15 L P Roberts, On knot Floer homology in double branched covers, Geom. Topol. 17 (2013) 413 MR3035332
16 Z Winkeler, Khovanov homology for links in thickened multipunctured disks, Michigan Math. J. 74 (2024) 1 MR4792559
17 Y Xie, Instantons and annular Khovanov homology, Adv. Math. 388 (2021) 107864 MR4281775
18 Y Xie, B Zhang, Instanton Floer homology for sutured manifolds with tangles, (2019) arXiv:1907.00547
19 Y Xie, B Zhang, Classification of links with Khovanov homology of minimal rank, J. Eur. Math. Soc. 27 (2025) 333 MR4859571
20 Y Xie, B Zhang, Instantons and Khovanov skein homology on I × T2, Quantum Topol. 16 (2025) 75 MR4863828