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Links with non-trivial Alexander polynomial which are topologically concordant to the Hopf link

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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… Click to show full 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.

Keywords: alexander polynomial; hopf link; concordant hopf; topologically concordant; trivial alexander

Journal Title: Transactions of the American Mathematical Society
Year Published: 2019

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