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We prove that fibered, −amphicheiral knots with irreducible Alexander polynomials are rationally slice. This contrasts with the result of Miyazaki that (2n,1)‐cables of these knots are not ribbon. We also show that the concordance invariants ν+ and Υ from Heegaard Floer homology vanish for a class of knots that includes rationally slice knots. In particular, the ν+‐ and Υ‐invariants vanish for these cable knots.
Bulletin of the London Mathematical Society – Wiley
Published: Jun 1, 2018
Keywords: ;
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