Smooth concordance of links topologically concordant to the Hopf link
arXiv:1012.2045 · doi:10.1112/blms/bdr103
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
Cited by in corpus (7)
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- Concordance groups of links
- Satellite operators with distinct iterates in smooth concordance
- Concordance of links with identical Alexander invariants
- Links Not Concordant to the Hopf Link
- Shake Slice and Shake Concordant Links
- Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link