On the kernel of the zero-surgery homomorphism from knot concordance

DOI10.1016/j.topol.2023.108445OpenAlexW3015928768MaRDI QIDQ2687329

Dong-Soo Lee

Publication date: 2 March 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05967

zbMATH Keywords

knot concordance\(\widetilde{H}\)-cobordism

Mathematics Subject Classification ID

Cobordism and concordance in topological manifolds (57N70) Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Cites Work

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• Notes on the knot concordance invariant upsilon
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• An application of gauge theory to four dimensional topology
• Bounds for the Thurston-Bennequin number from Floer homology
• Concordance homomorphisms from knot Floer homology
• A note on cobordisms of algebraic knots
• Knot Floer homology of Whitehead doubles
• Singularities of 2-spheres in 4-space and cobordism of knots
• Knot concordance and homology cobordism
• NONSURJECTIVE SATELLITE OPERATORS AND PIECEWISE-LINEAR CONCORDANCE
• A PARTIAL POINCARÉ DUALITY THEOREM FOR INFINITE CYCLIC COVERINGS
• Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot

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