A Twisted Dimer Model for Knots

نویسندگان

  • Heather M. Russell
  • Moshe Cohen
  • Oliver Dasbach
  • MOSHE COHEN
  • HEATHER M. RUSSELL
چکیده

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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تاریخ انتشار 2015