On rational sliceness of Miyazaki's fibered, $-$amphicheiral knots

TL;DR

This paper proves that certain fibered, -amphicheiral knots are rationally slice and demonstrates that specific Heegaard Floer invariants vanish for these knots, shedding light on their concordance properties.

Contribution

The paper establishes the rational sliceness of a class of fibered, -amphicheiral knots and shows the vanishing of key concordance invariants, advancing understanding of their topological properties.

Findings

Certain fibered, -amphicheiral knots are rationally slice.

The invariants ν^+ and Υ(t) vanish for these knots.

Results contribute to the classification of knot concordance types.

Abstract

We prove that certain fibered, $-$amphicheiral knots are rationally slice. Moreover, we show that the concordance invariants $\nu^+$ and $\Upsilon(t)$ from Heegaard Floer homology vanish for a class of knots that includes rationally slice knots.