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Concordance to links with unknotted components

Jae Choon Cha and Daniel Ruberman

Algebraic & Geometric Topology 12 (2012) 963–977

DOI: 10.2140/agt.2012.12.963
Abstract

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.

Keywords

link concordance, covering link, rational concordance, complexity, Heegaard Floer homology
Mathematical Subject Classification

Primary: 57M25

Secondary: 57M27, 57N70
References
Publication

Received: 13 April 2011
Revised: 27 January 2012
Accepted: 28 January 2012
Published: 2 May 2012
Authors
Jae Choon Cha
Department of Mathematics and PMI
POSTECH
Pohang 790–784
Republic of Korea
http://www.postech.ac.kr/~jccha/
Daniel Ruberman
Department of Mathematics
Brandeis University
Waltham, MA 02454–9110
USA
http://people.brandeis.edu/~ruberman/