Khovanov Homotopy Calculations using Flow Category Calculus

DOI10.1080/10586458.2018.1482805zbMath1464.57020arXiv1710.01857OpenAlexW2962798663WikidataQ128062189 ScholiaQ128062189MaRDI QIDQ5857718

Andrew Lobb, Patrick Orson, Dirk Schuetz

Publication date: 7 April 2021

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01857

zbMATH Keywords

Steenrod squareflow categoryKhovanov

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (5)

A Bar-Natan homotopy type ⋮ Categorical lifting of the Jones polynomial: a survey ⋮ Khovanov homotopy type, periodic links and localizations ⋮ A calculus for flow categories ⋮ A FAST ALGORITHM FOR CALCULATING S-INVARIANTS

Cites Work

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• Framed cobordism and flow category moves
• Computing Hermite and Smith normal forms of triangular integer matrices
• Khovanov homotopy type, Burnside category and products
• A refinement of Rasmussen's \({s}\)-invariant
• A Steenrod square on Khovanov homology
• A Khovanov stable homotopy type
• Morse moves in flow categories
• Stabilization of the Khovanov Homotopy Type of Torus Links

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