Ribbon distance and Khovanov homology

Abstract

We study a notion of distance between knots, defined in terms of the number of saddles in ribbon concordances connecting the knots. We construct a lower bound on this distance using the X-action on Lee's perturbation of Khovanov homology.

12 pages

References in corpus (1)

• Khovanov homology and ribbon concordance

Cited by in corpus (5)

• Knot cobordisms, bridge index, and torsion in Floer homology
• A mixed invariant of non-orientable surfaces in equivariant Khovanov homology
• Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials
• Ribbon cobordisms between lens spaces
• Non-orientable link cobordisms and torsion order in Floer homologies