Concordance to links with unknotted components

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 02 May 2012Embargo end date: 01 Jan 2011 Korea (Republic of) English Publisher:Mathematical Sciences PublishersJournal:Algebraic & Geometric Topology, volume 12, pages 963-977 (issn: 1472-2747, eissn: 1472-2739,

Copyright policy )Funded by:NSF | Knot concordance, periodi..., NSF | Analytical and geometric ...

Authors: Cha, JC; Ruberman, D;

doi: 10.2140/agt.2012.12.963 , 10.48550/arxiv.1103.2417

arXiv: 1103.2417

Concordance to links with unknotted components

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Abstract

We show that there are links whose individual components are concordant to the unknot, but which are not concordant to any link with unknotted components. We give examples in the topological category, and examples in the smooth category which are topologically slice. We also give generalizations regarding components of prescribed Alexander polynomials. The main tools are covering link calculus, algebraic invariants of rational knot concordance theory, and the correction term of Heegaard Floer homology.

Final version, to appear in Algebraic & Geometric Topology

Country

Korea (Republic of)

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Keywords

link concordance, COBORDISM, covering link, Geometric Topology (math.GT), 57M25, 57M27, 57N70, Invariants of knots and \(3\)-manifolds, INVARIANTS, 4-MANIFOLDS, CALCULUS, Heegaard Floer homology, 57N70, BING DOUBLES, KNOTS, Mathematics - Geometric Topology, Cobordism and concordance in topological manifolds, 57M27, 57M25, FOS: Mathematics, HOMOLOGY SPHERES, Knots and links in the \(3\)-sphere, rational concordance, complexity, BOUNDARY LINKS

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