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arXiv · 0804.4772

Dimers on graphs in non-orientable surfaces

David Cimasoni
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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].

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David Cimasoni. 2009-01-19. Dimers on graphs in non-orientable surfaces. https://doi.org/10.1007/s11005-009-0299-2

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