A twisted dimer model for knots

Details A twisted dimer model for knots A twisted dimer model for knots

2010-10-25

arxiv.org/abs/1010.5228v2

Mathematics

Geometric Topology

16 pages

Scientific paper

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.

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