Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link

Min Hoon Kim; David Krcatovich; JungHwan Park

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arXiv · 1703.10325

Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link

Min Hoon Kim·David Krcatovich·JungHwan Park

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Abstract

We give infinitely many $2$-component links with unknotted components which are topologically concordant to the Hopf link, but not smoothly concordant to any $2$-component link with trivial Alexander polynomial. Our examples are pairwise non-concordant.

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Min Hoon Kim, David Krcatovich, JungHwan Park. 2017-09-07. Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link. https://arxiv.org/abs/1703.10325

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