A twisted dimer model for knots
Geometric Topology
2014-05-14 v2
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.
Cite
@article{arxiv.1010.5228,
title = {A twisted dimer model for knots},
author = {Moshe Cohen and Oliver T. Dasbach and Heather M. Russell},
journal= {arXiv preprint arXiv:1010.5228},
year = {2014}
}
Comments
16 pages