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GridPyM: A Python module to handle grid diagrams

Agnese Barbensi and Daniele Celoria

Vol. 14 (2024), 31–39
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.

Keywords
knot theory, low-dimensional topology, computational topology
Mathematical Subject Classification
Primary: 57K10
Secondary: 90-04
Supplementary material

A Sage compatible Python module to manipulate and simplify grid diagrams.

Milestones
Received: 18 October 2022
Revised: 20 November 2023
Accepted: 8 January 2024
Published: 26 March 2024
Authors
Agnese Barbensi
School of Mathematics and Statistics
University of Melbourne
Australia
Daniele Celoria
School of Mathematics and Statistics
University of Melbourne
Australia