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Dimers on Surface Graphs and Spin Structures. I

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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.

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Authors and Affiliations

  1. Mathematics Department, University of California, Berkeley, CA, 94720, USA

    David Cimasoni & Nicolai Reshetikhin

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  1. David Cimasoni
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  2. Nicolai Reshetikhin
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Correspondence to David Cimasoni.

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Communicated by L. Takhtajan

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Cimasoni, D., Reshetikhin, N. Dimers on Surface Graphs and Spin Structures. I. Commun. Math. Phys. 275, 187–208 (2007). https://doi.org/10.1007/s00220-007-0302-7

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  • DOI: https://doi.org/10.1007/s00220-007-0302-7

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