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

Author

Kim, Min Hoon, Krcatovich, David, and Park, JungHwan

Subjects
Mathematics - Geometric Topology, FOS: Mathematics, Geometric Topology (math.GT), Astrophysics::Cosmology and Extragalactic Astrophysics, Mathematics::Geometric Topology
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., Comment: 18 pages. To appear in Transactions of the American Mathematical Society

Published
2017
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