Special Issue for Tim Cochran; Guest Editors: J. E. Grigsby, S. Harvey, K. Orr and D. RubermanNo Access

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

Christopher W. Davis

Department of Mathematics, The University of Wisconsin–Eau Claire, Eau Claire, WI 54701, USA

E-mail Address: daviscw@uwec.edu

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and

Arunima Ray

Department of Mathematics, Brandeis University, Waltham, MA 02453, USA

E-mail Address: aruray@brandeis.edu

Corresponding author.

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https://doi.org/10.1142/S0218216517400028Cited by:1 (Source: Crossref)

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 addition, 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 in smooth concordance from theirs.

Keywords:

AMSC: 57M25, 57M27

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