Computer Programs

This page contains various computer programs I have written for my own research. Use at your own risk.

• This program can be used in sage/snappy to compute a presentation of the Alexander module of a link. Specifically, let X_L be the universal abelian cover of S^3 \setminus L and x_0 a point in S^3 \setminus L. Then computes the Fox Calculus matrix for L, i.e. a presentation of the module H_1(X_L,\tilde{x_0}) where \tilde{x_0} is the preimage in the cover X_L. This program is based on a program to compute Alexander ideals written by Nathan Dunfield and Sherry Gong.

Link: alexander_module_presentation.py.