Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces

DOI10.1142/S0218216521500528zbMath1484.57007arXiv2007.09241MaRDI QIDQ3384180

Louis H. Kauffman, I. M. Nikonov, Eiji Ogasa

Publication date: 15 December 2021

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09241

zbMATH Keywords

knotlinkSteenrod squarethickened surfacehomotopical Khovanov homologyKhovanov-Lipshitz-Sarkar stable homotopy type

Mathematics Subject Classification ID

Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (1)

Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces

Cites Work

• Khovanov homology is an unknot-detector
• Theorie der Normalflächen. Ein Isotopiekriterium für den Kreisknoten
• State models and the Jones polynomial
• On Khovanov's categorification of the Jones polynomial
• Categorification of the Kauffman bracket skein module of \(I\)-bundles over surfaces
• Virtual knot theory
• Holomorphic disks and genus bounds
• A categorification of the Jones polynomial
• A refinement of Rasmussen's \({s}\)-invariant
• A Steenrod square on Khovanov homology
• A Khovanov stable homotopy type
• Virtual Khovanov homology using cobordisms
• Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots
• Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces
• KHOVANOV HOMOLOGY FOR VIRTUAL KNOTS WITH ARBITRARY COEFFICIENTS
• Homotopical Khovanov homology
• Doubled Khovanov Homology
• INTRODUCTION TO VIRTUAL KNOT THEORY

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