Dimers on surface graphs and spin structures. I

Cimasoni, David; Reshetikhin, Nicolai

doi:10.1007/s00220-007-0302-7

Scientific article

English

Dimers on surface graphs and spin structures. I

ContributorsCimasoni, David

; Reshetikhin, Nicolai

Published inCommunications in Mathematical Physics, vol. 275, no. 1, p. 187-208

Publication date2007

Abstract

Partition functions for dimers on closed oriented surfaces are known to be alternating sums of Pfaffians of Kasteleyn matrices. In this paper, we obtain the formula for the coefficients in terms of discrete spin structures.

Classification

arxiv : math-ph

Note8 figures

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Not a UNIGE publication

Citation (ISO format)

CIMASONI, David, RESHETIKHIN, Nicolai. Dimers on surface graphs and spin structures. I. In: Communications in Mathematical Physics, 2007, vol. 275, n° 1, p. 187–208. doi: 10.1007/s00220-007-0302-7

Article

Identifiers

PID : unige:12102
DOI : 10.1007/s00220-007-0302-7
arXiv : math-ph/0608070

Journal ISSN1432-0916

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Dimers on surface graphs and spin structures. I

Partition functions for dimers on closed oriented surfaces are known to be alternating sums of Pfaffians of Kasteleyn matrices. In this paper, we obtain the formula for the coefficients in terms of discrete spin structures.

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