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Dimers on graphs in non-orientable surfaces

Published in Letters in Mathematical Physics. 2009, vol. 87, no. 1-2, p. 149-179
Abstract The main result of this paper is a Pfaffian formula for the partition function of the dimer model on a graph G embedded in a closed, possibly non-orientable surface S. This formula is suitable for computational purposes, and it is obtained using purely geometrical methods. The key step in the proof consists of a correspondence between some orientations on G and the set of pin^- structures on S. This generalizes (and simplifies) the results of a previous paper [2].
arXiv: 0804.4772
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CIMASONI, David. Dimers on graphs in non-orientable surfaces. In: Letters in Mathematical Physics, 2009, vol. 87, n° 1-2, p. 149-179. doi: 10.1007/s11005-009-0299-2

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Deposited on : 2010-10-15

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