A twisted dimer model for knots
arXiv:1010.5228 · doi:10.4064/fm225-1-4
Abstract
We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman's state sum model for the Alexander polynomial using the language of dimers. By providing some additional structure we are able to extend this model to give a state sum formula for the twisted Alexander polynomial of a knot depending on a representation of the knot group.
16 pages