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English

Dimers on graphs in non-orientable surfaces

ContributorsCimasoni, David
Published inletters in mathematical physics, vol. 87, no. 1-2, p. 149-179
Publication date2009
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].

Classification
  • arxiv : math-ph
Note5 figures
Affiliation Not a UNIGE publication
Citation (ISO format)
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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ISSN of the journal0377-9017
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