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Topological concordance of knots in homology spheres and the solvable filtration

Topological concordance of knots in homology spheres and the solvable filtration

In 2016, Levine showed that there exists a knot in a homology 3-sphere which is not smoothly concordant to any knot in S 3 where one allows concordances in any smooth homology cobordism. Whether the same is true if one allows topological concordances is not known. One might hope that …