A new family of links topologically, but not smoothly, concordant to the Hopf link
Christopher W. Davis, Arunima Ray
TL;DR
This paper introduces new examples of 2-component links that are topologically but not smoothly concordant to the Hopf link, highlighting differences between topological and smooth concordance in knot theory.
Contribution
The authors present novel links topologically concordant to the Hopf link but not smoothly, and distinguish their examples from previous constructions by Cha-Kim-Ruberman-Strle.
Findings
New examples of links topologically concordant but not smoothly concordant to the Hopf link
Demonstration that these examples are distinct from prior constructions
Insights into the difference between topological and smooth concordance in link theory
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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