A new family of links topologically, but not smoothly, concordant to the Hopf link

Christopher W. Davis; Arunima Ray

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arXiv · 1509.00402

A new family of links topologically, but not smoothly, concordant to the Hopf link

Christopher W. Davis·Arunima Ray

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Abstract

We give new examples of 2-component links with linking number one and unknotted components that are topologically concordant to the positive Hopf link, but not smoothly so - in fact they are not smoothly concordant to the positive Hopf link with a knot tied in the first component. Such examples were previously constructed by Cha-Kim-Ruberman-Strle; we show that our examples are distinct from theirs.

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BibTeX RIS

Christopher W. Davis, Arunima Ray. 2016-09-05. A new family of links topologically, but not smoothly, concordant to the Hopf link. https://arxiv.org/abs/1509.00402

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