A cabling formula for the 𝜈⁺ invariant

DOI10.1090/proc/13029zbMath1350.57015arXiv1501.04749OpenAlexW1863824684MaRDI QIDQ2814427

Zhongtao Wu

Publication date: 22 June 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04749

zbMATH Keywords

knot surgery\(\tau\)-invariantconcordance invariant\(4\)-ball genusHeegaard Floer complexknot cableSpin\(^c\) structuretwo-handle

Mathematics Subject Classification ID

Floer homology (57R58) Cobordism and concordance in PL-topology (57Q60)

Related Items (3)

Topologically slice knots that are not smoothly slice in any definite 4-manifold ⋮ A full-twist inequality for the \(\nu^{+}\)-invariant ⋮ A note on concordance properties of fibers in Seifert homology spheres

Cites Work

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• Cosmetic surgeries on knots in \(S^3\)
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• Covering spaces and \(\mathbb Q\)-gradings on Heegaard Floer homology
• Ozsváth-Szabó and Rasmussen invariants of cable knots
• Knot Floer homology and the four-ball genus
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Holomorphic disks and knot invariants
• Concordance homomorphisms from knot Floer homology
• Cables of thin knots and bordered Heegaard Floer homology
• Bordered Heegaard Floer homology and the tau-invariant of cable knots
• Dehn Surgery and Satellite Knots
• Nonsimple, Ribbon Fibered Knots
• On Knot Floer Homology and Cabling: 2

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