Up to topological concordance links are strongly quasipositive

TL;DR

This paper extends Rudolph's algorithm to prove that any link can be topologically concordant to a strongly quasipositive link, broadening understanding of link concordance and quasipositivity.

Contribution

It introduces a generalization of Rudolph's algorithm demonstrating that all links are topologically concordant to strongly quasipositive links.

Findings

Every link is topologically concordant to a strongly quasipositive link.

The generalized algorithm applies broadly to link types.

Enhances the understanding of the relationship between topological concordance and quasipositivity.

Abstract

We generalize an algorithm of Rudolph to establish that every link is topologically concordant to a strongly quasipositive link.