Concordance to links with unknotted components

Cha, Jae Choon; Ruberman, Daniel

doi:10.2140/agt.2012.12.963

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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 2000

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/

Volume 12, issue 2 (2012)