Concordance to links with unknotted components

Cha, Jae Choon¹ ; Ruberman, Daniel²

¹Department of Mathematics and PMI, POSTECH, Pohang 790–784, Republic of Korea
²Department of Mathematics, Brandeis University, Waltham, MA 02454–9110, USA

Algebraic and Geometric Topology, Tome 12 (2012) no. 2, pp. 963-977

Résumé

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.

Détail

DOI : 10.2140/agt.2012.12.963

Keywords: link concordance, covering link, rational concordance, complexity, Heegaard Floer homology

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