On 3-braid knots of finite concordance order

TL;DR

This paper investigates 3-braid knots with finite smooth concordance order and proves that chiral 3-braid knots of this type are ribbon, advancing understanding of their geometric properties.

Contribution

It establishes that chiral 3-braid knots with finite concordance order are necessarily ribbon, providing a new classification result in knot theory.

Findings

Chiral 3-braid knots of finite concordance order are ribbon.

Main result links chirality, finite concordance order, and ribbon property.

Advances understanding of the structure of 3-braid knots.

Abstract

We study 3-braid knots of finite smooth concordance order. A corollary of our main result is that a chiral 3-braid knot of finite concordance order is ribbon.