The universal character ring of the (-2,2m+1,2n)-pretzel link

TL;DR

This paper explicitly computes the universal character ring of a class of pretzel links, demonstrating that it is reduced for all integer parameters, which advances understanding of their algebraic properties.

Contribution

It provides the first explicit calculation of the universal character ring for the (-2,2m+1,2n)-pretzel links and proves its reducedness for all integer values of m and n.

Findings

Universal character ring explicitly calculated

Ring is reduced for all integer parameters

Advances algebraic understanding of pretzel links

Abstract

We explicitly calculate the universal character ring of the (-2,2m+1,2n)-pretzel link and show that it is reduced for all integers m and n.