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

On rational sliceness of Miyazaki's fibered, −amphicheiral knots 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

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

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References (42)

Publisher
Wiley
Copyright
© 2018 London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms.12152
Publisher site
See Article on Publisher Site

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Jun 1, 2018

Keywords: ;

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