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.
Document Type
Post-print Article
Publication Date
2014
Publisher Statement
Copyright © 2014 IMPAN
The definitive version is available at: http://journals.impan.gov.pl/fm/
DOI: 10.4064/fm225-1-4
Full Citation:
Russell, Heather M., Moshe Cohen, and Oliver Dasbach. "A Twisted Dimer Model for Knots." Fundamenta Mathematicae 225, no. 1 (2014): 57-74. doi:10.4064/fm225-1-4.
Recommended Citation
Russell, Heather M.; Cohen, Moshe; and Dasbach, Oliver, "A Twisted Dimer Model for Knots" (2014). Department of Math & Statistics Faculty Publications. 110.
https://scholarship.richmond.edu/mathcs-faculty-publications/110
