Quasi-alternating links and $Q$-polynomials

TL;DR

This paper refines the relationship between the degree of the $Q$-polynomial and the determinant for quasi-alternating links, providing a more precise understanding of their algebraic properties.

Contribution

It offers a refined evaluation of the degree of the $Q$-polynomial in relation to the determinant for quasi-alternating links, extending previous results.

Findings

Degree of $Q$-polynomial is less than the determinant for quasi-alternating links

Provides a more precise bound or evaluation for the degree of $Q$-polynomial

Enhances understanding of algebraic invariants of quasi-alternating links

Abstract

Qazaqzeh and Chbili showed that for any quasi-alternating link, the degree of $Q$-polynomial is less than its determinant. We give a refinement of their evaluation.