Torsion in Khovanov homology of homologically thin knots

DOI10.1142/S0218216521410157zbMath1490.57012arXiv1806.05168OpenAlexW4214772207MaRDI QIDQ5071795

Alexander Shumakovitch

Publication date: 22 April 2022

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

Full work available at URL: https://arxiv.org/abs/1806.05168

zbMATH Keywords

Khovanov homologyBockstein spectral sequencehomologically thin linkstorsion in Khovanov homology

Mathematics Subject Classification ID

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

Related Items

Extremal Khovanov homology and the girth of a knot ⋮ Torsion in thin regions of Khovanov homology ⋮ Categorical lifting of the Jones polynomial: a survey ⋮ On the strength of chromatic symmetric homology for graphs ⋮ Patterns in Khovanov link and chromatic graph homology

Uses Software

• KnotPlot
• Knotscape

Cites Work

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• On the first group of the chromatic cohomology of graphs
• On Khovanov's categorification of the Jones polynomial
• A categorification of the Jones polynomial
• An endomorphism of the Khovanov invariant
• CALCULATING BAR-NATAN'S CHARACTERISTIC TWO KHOVANOV HOMOLOGY
• A polynomial invariant for knots via von Neumann algebras
• A conjecture on Khovanov's invariants
• Patterns in Knot Cohomology, I
• Torsion in Khovanov homology of semi-adequate links
• Torsion of Khovanov homology
• Link homology and Frobenius extensions

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