GridPyM: a Python module to handle grid diagrams

TL;DR

GridPyM is a Python module designed for generating, simplifying, and transforming grid diagrams, facilitating research in knot theory and related applications.

Contribution

It introduces GridPyM, a new Sage-compatible Python tool for handling grid diagrams, focusing on generation, simplification, and local transformations.

Findings

Provides a Python module compatible with Sage for grid diagrams

Enables efficient generation and simplification of grid diagrams

Supports modeling of local transformations between grid diagrams

Abstract

Grid diagrams are a combinatorial version of classical link diagrams, widely used in theoretical, computational and applied knot theory. Motivated by questions from (bio)-physical knot theory, we introduce GridPyM, a Sage compatible Python module that handles grid diagrams. GridPyM focuses on generating and simplifying grids, and on modelling local transformations between them.