Algebraic & Geometric Topology

Concordance to links with unknotted components

Jae Choon Cha and Daniel Ruberman

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We show that there are topologically slice links whose individual components are smoothly concordant to the unknot, but which are not smoothly concordant to any link with unknotted components. We also give generalizations in the topological category 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.

Article information

Algebr. Geom. Topol., Volume 12, Number 2 (2012), 963-977.

Received: 13 April 2011
Revised: 27 January 2012
Accepted: 28 January 2012
First available in Project Euclid: 19 December 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Secondary: 57M27: Invariants of knots and 3-manifolds 57N70: Cobordism and concordance

link concordance covering link rational concordance complexity Heegaard Floer homology


Cha, Jae Choon; Ruberman, Daniel. Concordance to links with unknotted components. Algebr. Geom. Topol. 12 (2012), no. 2, 963--977. doi:10.2140/agt.2012.12.963.

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