The Thurston norm of a 3-manifold measures the minimal complexity of surfaces representing a given homology class. We will show how in most (possibly all cases) one can use Fox calculus to easily calculate the Thurston norm of the complemenent of a link, if the fundamental group has at most two generators.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/5019