Scientific Article
previous document  unige:12101  next document
add to browser collection

Dimers on surface graphs and spin structures. II

Reshetikhin, Nicolai
Published in Communications in Mathematical Physics. 2008, vol. 281, no. 2, p. 445-468
Abstract In a previous paper, we showed how certain orientations of the edges of a graph G embedded in a closed oriented surface S can be understood as discrete spin structures on S. We then used this correspondence to give a geometric proof of the Pfaffian formula for the partition function of the dimer model on G. In the present article, we generalize these results to the case of compact oriented surfaces with boundary. We also show how the operations of cutting and gluing act on discrete spin structures and how they change the partition function. These operations allow to reformulate the dimer model as a quantum field theory on surface graphs.
Note 3 figures
Stable URL
Full text
Article (355 Kb) - public document Free access
arXiv: 0704.0273

175 hits



Deposited on : 2010-10-15

Export document
Format :
Citation style :