Khovanov concordance minima and the (4,5) torus knot

Andrew Lobb

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arXiv · 2602.12692

Khovanov concordance minima and the (4,5) torus knot

Andrew Lobb

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Abstract

Ribbon concordance gives a partial order on knot types, and applying a knot homology functor to a ribbon concordance gives an inclusion of the homologies. The question of the existence of global ribbon minima in each concordance class is a generalization of the slice-ribbon conjecture, which asserts that the unknot is the global minimum in its class. We show that the (reduced rational) Khovanov homology of the (4,5) torus knot is a summand in the Khovanov homology of any knot in its concordance class.

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Andrew Lobb. 2026-02-13. Khovanov concordance minima and the (4,5) torus knot. https://arxiv.org/abs/2602.12692

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