HOMFLYPT homology over ℤ2 detects unlinks

DOI10.1142/S0218216522500729MaRDI QIDQ5050618

Hao Wu

Publication date: 17 November 2022

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

Full work available at URL: https://arxiv.org/abs/1708.07139

zbMATH Keywords

Khovanov homologyunknotunlinkHOMFLYPT homologyRasmussen spectral sequence

Mathematics Subject Classification ID

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

Cites Work

• Khovanov module and the detection of unlinks
• Graded syzygies
• Khovanov homology is an unknot-detector
• Khovanov-Rozansky homology of two-bridge knots and links
• Some differentials on Khovanov-Rozansky homology
• Matrix factorizations and link homology. II.
• A link-splitting spectral sequence in Khovanov homology
• Braids and the Jones Polynomial
• On the Hilbert polynomial of the HOMFLYPT homology
• Matrix factorizations and link homology

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