Rasmussen s-invariants of satellites do not detect slice knots

DOI10.1142/S0218216517400016zbMath1361.57004arXiv1512.08931OpenAlexW2963674616MaRDI QIDQ2969695

Min Hoon Kim, Jae Choon Cha

Publication date: 23 March 2017

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

Full work available at URL: https://arxiv.org/abs/1512.08931

zbMATH Keywords

Rasmussen invariantbipolar filtrationKronheimer-Mrowkasatellite operation

Mathematics Subject Classification ID

Cites Work

• Filtering smooth concordance classes of topologically slice knots
• Concordance invariants from higher order covers
• The knot Floer complex and the smooth concordance group
• Khovanov homology and the slice genus
• Ozsváth-Szabó and Rasmussen invariants of cable knots
• Covering link calculus and the bipolar filtration of topologically slice links
• On knot Floer homology and cabling
• Cables of thin knots and bordered Heegaard Floer homology
• Bordered Heegaard Floer homology and the tau-invariant of cable knots
• The Ozsváth-Szabó and Rasmussen concordance invariants are not equal
• The structure of the rational concordance group of knots
• Unknotting Information from 4-Manifolds
• A Simple Proof that the Concordance Group of Algebraically Slice Knots is Infinitely Generated
• Polynomial splittings of Casson–Gordon invariants
• On Knot Floer Homology and Cabling: 2
• Gauge theory and Rasmussen's invariant
• A Concordance Invariant from the Floer Homology of Double Branched Covers

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