Chord Diagrams

Computation with Chord diagrams of Vassiliev Invariants

This program allows you to do computations within the algebra of chord diagrams; in particular, it will find the basis of the space of chord diagrams for colored links. It will generate and display the bases and the 4T relations, like this:

With it, you can create images like the one on this page with ease, and explore the fun world of chord diagrams :)

DOCUMENTATION

Extensive Javadoc

DOWNLOAD

Chord Diagrams is a Java program that has been test on Windows and requires Mathematica for row-reduction. You need to have Mathematica - Java API classes installed to run it.
Download link: Java Source Code, Documentation and Binaries

USAGE

Unpack the archive containing the chordDiagrams folder;
Using the command line, naviagte to the folder that contains chordDiagrams folder;
execute "java chordDiagrams/Driver";
follow the prompts: first, select "1" to compute 4T relations with all diagrams having N chords and L links by specifying N and L. Then compute the basis and/or draw the results.
Every time you compute something, the result is saved into a file so you don't have to recompute it later.