Some computations on instanton knot homology

DOI10.1142/S0218216523500074MaRDI QIDQ5883165

Yi Liang, Zhenkun Li

Publication date: 29 March 2023

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

Full work available at URL: https://arxiv.org/abs/2102.07300

zbMATH Keywords

knot theory\(L\)-spaceinstanton Floer homology

Mathematics Subject Classification ID

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

Cites Work

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• Khovanov homology is an unknot-detector
• Holomorphic discs and sutured manifolds
• Knots, sutures, and excision
• Instanton Floer homology and the Alexander polynomial
• Holomorphic disks and knot invariants
• Khovanov homology detects the trefoils
• On spectral sequences from Khovanov homology
• The pillowcase and perturbations of traceless representations of knot groups
• Knot homologies in monopole and instanton theories via sutures
• A survey on Heegaard Floer homology and concordance
• Knot homology groups from instantons
• Framed instanton homology of surgeries on L-space knots

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