Abstract
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.
Original language | English |
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Pages (from-to) | 462-476 |
Number of pages | 15 |
Journal | Bulletin of the London Mathematical Society |
Volume | 50 |
Issue number | 3 |
DOIs | |
State | Published - Jun 2018 |
Bibliographical note
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