A new family of links topologically, but not smoothly, concordant to the Hopf link. (English) Zbl 1362.57016
The freaky fact that equivalence and smooth equivalence diverge at dimension four is strong evidence that higher dimensional topology lives in a profoundly different world from our own. It is nonetheless a popular utopia for imaginary mathematical explorations. These authors round up some new links with two unknotted components and linking number one that are topologically but not smoothly concordant to the positive Hopf link, noting that most of their examples differ in smooth concordance from those of J. C. Cha, T. Kim, D. Ruberman and S. Strle, [J. C. Cha et al., Bull. Lond. Math. Soc. 44, No. 3, 443–450 (2012; Zbl 1260.57006)].
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
| 57M27 | Invariants of knots and \(3\)-manifolds (MSC2010) |
Keywords:
knot concordance; link concordance; satellite operations; Hopf link; smooth concordance; topological concordanceCitations:
Zbl 1260.57006References:
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