On rational sliceness of Miyazaki's fibered, −amphicheiral knots

Min Hoon Kim, Zhongtao Wu

Research output: Contribution to journalArticlepeer-review

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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 languageEnglish
Pages (from-to)462-476
Number of pages15
JournalBulletin of the London Mathematical Society
Volume50
Issue number3
DOIs
StatePublished - Jun 2018

Bibliographical note

Publisher Copyright:
© 2018 London Mathematical Society

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