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arxiv: math-ph/0608070 · v2 · pith:KFEKKBUZnew · submitted 2006-08-31 · 🧮 math-ph · math.GT· math.MP

Dimers on surface graphs and spin structures. I

David Cimasoni , Nicolai Reshetikhin This is my paper
classification 🧮 math-ph math.GTmath.MP
keywords dimersspinstructuresalternatingclosedcoefficientsdiscreteformula
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Partition functions for dimers on closed oriented surfaces are known to be alternating sums of Pfaffians of Kasteleyn matrices. In this paper, we obtain the formula for the coefficients in terms of discrete spin structures.

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