Nontrivial Steenrod squares on prime, hyperbolic and satellite knots

DOI10.2140/agt.2022.22.1273zbMath1497.57018arXiv2006.10881OpenAlexW4294977191WikidataQ114045619 ScholiaQ114045619MaRDI QIDQ2172188

Holt Bodish

Publication date: 15 September 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10881

zbMATH Keywords

homotopy typeknot theorySteenrod operationsKhovanov homologyribbon concordance

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Cobordism and concordance in topological manifolds (57N70) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (1)

Homotopy functoriality for Khovanov spectra

Cites Work

• Khovanov module and the detection of unlinks
• Almost identical imitations of (3,1)-dimensional manifold pairs
• Realizing concordant polynomials with prime knots
• Homology cobordisms of 3-manifolds, knot concordances, and prime knots
• Khovanov homotopy type, Burnside category and products
• A refinement of Rasmussen's \({s}\)-invariant
• Hyperbolic covering knots
• A Steenrod square on Khovanov homology
• A Khovanov stable homotopy type
• INVERTIBLE KNOT CONCORDANCES AND PRIME KNOTS
• Prime knots and concordance
• Prime Knots and Tangles
• Additivity of bridge numbers of knots
• Khovanov homology and ribbon concordances
• SPATIAL REFINEMENTS AND KHOVANOV HOMOLOGY
• Torsion of Khovanov homology

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