A delooping of the space of string links

TL;DR

This paper provides an explicit method to 'deloop' the space of string links with multiple components in high-dimensional cubes, enhancing understanding of their topological structure.

Contribution

It introduces a new explicit delooping construction for the space of string links in dimensions four and higher.

Findings

Explicit delooping of string link spaces in high dimensions

Enhanced understanding of the topological structure of string links

Potential applications in high-dimensional knot theory

Abstract

We exhibit an explicit delooping of the space of string links with $m$ components in the hypercube $I^{n}$, for $n\geq 4$ and $m\geq 1$.