Smooth concordance of links topologically concordant to the Hopf link

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 18 Nov 2011Embargo end date: 01 Dec 2010 Korea (Republic of) English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 44, pages 443-450 (issn: 0024-6093,

Copyright policy )Funded by:NSF | Knot concordance: Fifty y..., NSF | Knot concordance, periodi...

Authors: Cha, JC; Kim, T; Ruberman, D; Strle, S;

doi: 10.1112/blms/bdr103 , 10.48550/arxiv.1012.2045

arXiv: 1012.2045

Smooth concordance of links topologically concordant to the Hopf link

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Abstract

It was shown by Jim Davis that a 2-component link with Alexander polynomial one is topologically concordant to the Hopf link. In this paper, we show that there is a 2-component link with Alexander polynomial one that has unknotted components and is not smoothly concordant to the Hopf link, answering a question of Jim Davis. We construct infinitely many concordance classes of such links, and show that they have the stronger property of not being smoothly concordant to the Hopf link with knots tied in the components.

8 pages, 5 figures

Country

Korea (Republic of)

Related Organizations

Brandeis University
United States
University of Ljubljana
Slovenia
Konkuk University
Korea (Republic of)
University of Seoul
Korea (Republic of)
Pohang University of Science and Technology
Korea (Republic of)

Keywords

BING DOUBLES, Mathematics - Geometric Topology, BOUNDARY, FOS: Mathematics, Geometric Topology (math.GT), KNOT FLOER HOMOLOGY, 4-MANIFOLDS, INVARIANTS, 57M25, 57N70, SPHERES

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