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Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials

Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials

Abstract We establish homotopy ribbon concordance obstructions coming from the Blanchfield form and Levineā€“Tristram signatures. Then, as an application of twisted Alexander polynomials, we show that for every knot K with nontrivial Alexander polynomial, there exists an infinite family of knots that are all concordant to K and have the ā€¦