%0 Journal Article
%T Dimers on graphs in non-orientable surfaces
%A David Cimasoni
%J Mathematics
%D 2008
%I arXiv
%R 10.1007/s11005-009-0299-2
%X 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].
%U http://arxiv.org/abs/0804.4772v3