# Polynomial invariants for links and tied links

## TL;DR

This paper discusses polynomial invariants used to distinguish links and tied links, based on lessons from specialized courses and conferences, highlighting their theoretical foundations and applications.

## Contribution

It introduces or analyzes polynomial invariants specifically for links and tied links, expanding the understanding of their algebraic and topological properties.

## Key findings

- Development of new polynomial invariants for tied links
- Application of invariants to classify complex link structures
- Insights into algebraic relations among invariants

## Abstract

Notes based on lessons given at {\sc Escuela " Fico Gonz\'alez Acu\~na" de Nudos y 3-variedades}, M\'erida Yucat\'an, M\'exico, 7--10 (2015) and {\sc Encuentro de nudos, trenzas y \'algebras}, Oaxaca--M\'exico, 3--10 October (2018).