A note on the concordance of fibered knots

TL;DR

This paper discusses the uniqueness of fibered knots supporting the tight contact structure within their smooth concordance class and explores the possibility of counterexamples to the Slice-Ribbon Conjecture.

Contribution

It highlights the potential uniqueness or existence of counterexamples of fibered knots in relation to the Slice-Ribbon Conjecture.

Findings

Fibered knots supporting the tight contact structure may be unique in their concordance class.

Existence of a fibered counterexample to the Slice-Ribbon Conjecture is considered.

The paper emphasizes the significance of fibered knots in contact topology and knot concordance theory.

Abstract

Either fibered knots supporting the tight contact structure are unique in their smooth concordance class or there exists a fibered counterexample to the Slice-Ribbon Conjecture.