The unknot colored Khovanov homology formulas for all nonnegative colors

Let nN0n\in\mathbb{N}_0 denote the color of the 1-framed unknot, and let the formulas referred to as the formulas from Observation 1 hold for the colored Khovanov homology in color nn. Unknot formula conjecture. The formulas from Observation 1 hold for all nN0n\in\mathbb{N}_0. This extends the formulas beyond the cases verified in the preceding computations; the supplied text gives no resolution or further evidence of status.

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Primary source

Karim Ritter von Merkl, “Computing colored Khovanov homology”, arXiv:2505.03916 (2026).

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