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Dimers on surface graphs and spin structures. I

David Cimasoni, Nicolai Reshetikhin

Published 2006-08-31, updated 2006-09-27Version 2

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.

Comments: 21 pages, 8 figures, minor modifications
Journal: Comm. Math. Phys. 275 (2007), 187-208
Categories: math-ph, math.GT, math.MP
Subjects: 82B20, 57R15
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