A twisted dimer model for knots
| Autor: | Cohen, Moshe, Dasbach, Oliver T., Russell, Heather M. |
|---|---|
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Fundamenta Mathematicae 225 (2014), 57-74 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4064/fm225-1-4 |
| Popis: | 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. Comment: 16 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|