A note on rationally slice knots

arXiv2212.12951MaRDI QIDQ6120518

Adam Simon Levine

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.12951

zbMATH Keywords

knot concordancerational homology concordanceamphichiral knots

Mathematics Subject Classification ID

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

Cites Work

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• Topologically slice knots of smooth concordance order two
• Khovanov homology and the slice genus
• Equivariant collaring, tubular neighbourhood and gluing theorems for proper Lie group actions
• Knot Floer homology and the four-ball genus
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Involutive Heegaard Floer homology
• Concordance homomorphisms from knot Floer homology
• A note on some contractible 4-manifolds
• Knot cobordism groups in codimension two
• Linear independence of rationally slice knots
• Algebraic and Heegaard–Floer invariants of knots with slice Bing doubles
• The structure of the rational concordance group of knots
• On rational sliceness of Miyazaki's fibered, −amphicheiral knots
• Deep and shallow slice knots in 4-manifolds
• Negative amphichiral knots and the half-Conway polynomial

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