There are 3 repositories under knot-theory topic.
Contact model for 3D elastic rod simulations. Framework for knot tying.
A tool for drawing 2d diagrams, 3d knots, Seifert surfaces. Computes some knot properties and invariants.
These are handwritten solutions of almost all exercises in "Gauge Fields, Knots and Gravity" by John Baez & Javier P. Muniain.
AIDN is a deep learning algorithm to represent any finitely-presented algebraic object with a set of deep neural networks.
Contact model for 3D elastic rod simulations. Framework for flagella bundling.
The Jones Polynomial is a knot/link invariant. This program is the direct implementation of the mathematical definitions and can be used for calculation.
an efficient C library for handling polygonal curves in 3-space and knot diagrams
Python module to visualize Lattice Knots and Links in 3D, and analyse their distortion.
MS thesis in knot theory on methods for computing the Alexander polynomial
Python library for implementing geometrical representations of curves.
Library of tools for mathematicians and physicists.
The repo contains the base code for the experiment conducted by DeepMind and published in Nature under the title 'Advancing mathematics by guiding human intuition using AI'. The data set contains various numeric dat about generic mathematical entities called Knots. A feed-forward neural network was employed to find pattern amongst knot attributes.
Homebrew formulae for the various software projects produced by Jason Cantarella's lab at UGA
Preform Reidemeister moves on Signed Planar Graphs
Get the number of p-colourings invariant of a knot represented as a closure of a braid.
GAP algorithms involving complements of 1-knots, spun knots and chain complexes of covering spaces.
Library for the calculation and understanding of the Alexander Data, a proposed invariant for textiles. (MSc Data Science & AI Dissertation)
Python library providing functionality for the creation and rendering of Artin braids.
Treball de final de grau relacionat amb la teoria de nusos.
This is the code we used to verify the chirally cosmetic surgery for positive 2-bridge knots up to 31 crossings. The paper associated to this code can be found at https://arxiv.org/abs/2308.10126.
A backup of Hoste & Thistlethwaite's knot software, as indexed on the Knot Atlas