A twisted dimer model for knots

• Autorzy: Moshe Cohen , Oliver T. Dasbach , Heather M. Russell
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 05C50: Graphs and linear algebra (matrices, eigenvalues, etc.)
• 57M27: Invariants of knots and 3-manifolds
• 05C70: Factorization, matching, partitioning, covering and packing
• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 225
• Numer: 1
• Strony: 57-74

Daty

wydano

2014

Twórcy

autor

Moshe Cohen

• Department of Mathematics, Technion - Israel Institute of Technology, Haifa, 32000 Israel

autor

Oliver T. Dasbach

• Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A.

autor

Heather M. Russell

• Department of Mathematics and Computer Science, Washington College, Chestertown, MD 21620, U.S.A.

Identyfikatory

DOI

10.4064/fm225-1-4