On the construction of knots and links from Thompson's groups

TL;DR

This paper reviews recent advances in how Thompson group representations are connected to knot theory, highlighting new methods for constructing knots and links.

Contribution

It introduces novel approaches to constructing knots and links from Thompson's groups, expanding the interplay between group theory and knot theory.

Findings

New construction techniques for knots and links from Thompson groups

Enhanced understanding of the relationship between Thompson groups and knot invariants

Potential applications in topological quantum computing

Abstract

We review recent developments in the theory of Thompson group representations related to knot theory.