Scientific article
Open access

Dimers on graphs in non-orientable surfaces

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

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 : 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
Main files (1)
ISSN of the journal0377-9017

Technical informations

Creation10/12/2010 7:10:00 PM
First validation10/12/2010 7:10:00 PM
Update time03/14/2023 4:07:29 PM
Status update03/14/2023 4:07:29 PM
Last indexation02/12/2024 7:26:24 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack