Gorsky–Oblomkov–Rasmussen conjecture for stable Khovanov homology
Gorsky–Oblomkov–Rasmussen conjecture for stable Khovanov homology
For , let denote the stable limit of the shifted Khovanov homologies of the -strand torus links. Let be given by
Give the variables the bigradings and .
Gorsky–Oblomkov–Rasmussen conjecture. The stable Khovanov homology is the dual to the homology of the Koszul complex associated to the sequence , with the Koszul differential preserving quantum grading and lowering homological grading by .
This conjecture gives an algebraic model for stable Khovanov homology of torus links. The supplied text introduces the claim but does not state whether it has been proved or disproved.
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Sources & referencesView supporting material
Primary source
Tuomas Kelomäki, “Morse matchings and Khovanov homology of 4-strand torus links”, arXiv:2507.15060 (2025).
Additional references
4 papers in this index state this conjecture (2017–2025). The statement above is taken from the most recent of them; the others are arXiv:2402.10332, arXiv:2109.12889, arXiv:1706.08919.
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