Knots with identical Khovanov homology

Abstract

We give a recipe for constructing families of distinct knots that have identical Khovanov homology and give examples of pairs of prime knots, as well as infinite families, with this property.

v2: major revision. v3: typos corrected, minor clarifications. 12 pages, many figures

References in corpus (3)

• Khovanov's homology for tangles and cobordisms
• Khovanov Homology and Conway Mutation
• Triply-graded link homology and Hochschild homology of Soergel bimodules

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• A hitchhiker's guide to Khovanov homology
• Stability and triviality of the transverse invariant from Khovanov homology
• On $d$-invariants and generalised Kanenobu knots
• Homologically thin, non-quasi-alternating links
• A dequantized metaplectic knot invariant
• On the symmetric braid index of ribbon knots