Dimers on surface graphs and spin structures. I
Mathematical Physics
2015-06-26 v2 Geometric Topology
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0608070,
title = {Dimers on surface graphs and spin structures. I},
author = {David Cimasoni and Nicolai Reshetikhin},
journal= {arXiv preprint arXiv:math-ph/0608070},
year = {2015}
}
Comments
21 pages, 8 figures, minor modifications