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This article is available for purchase or by subscription. See below.
Abstract
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We use work of Lawson, Lipshitz and Sarkar as well as Wilson, Levine and Zemke to
prove that there are prime knots — in fact, hyperbolic and prime satellite
knots — with arbitrarily high Steenrod squares on their (reduced and unreduced)
Khovanov homology.
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Keywords
knot theory, Khovanov homology, Steenrod operations,
homotopy type, ribbon concordance
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Mathematical Subject Classification
Primary: 57K18
Secondary: 55P42, 57N70
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Publication
Received: 4 August 2020
Revised: 21 January 2021
Accepted: 3 May 2021
Published: 25 August 2022
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