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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.
W. Kasteleyn, Dimer statistics and phase transitions. J. Mathematical Phys. 4
1963
Earlier work this paper cites.
W. Kasteleyn, Graph Theory and Theoretical Physics
1967
Earlier work this paper cites.
B. McCoy and T.T. Wu, The two-dimensional Ising model
1973
Earlier work this paper cites.
D. Johnson, Spin structures and quadratic forms on surfaces. J. London Math. Soc. (2) 22
1980
Earlier work this paper cites.
L. Álvarez-Gaumé, J.-B. Bost, G. Moore, P. Nelson and C. Vafa, Bosonization on higher genus Riemann surfaces, Comm. Math. Phys. 112
1987
Earlier work this paper cites.
M. Atiyah, Topological quantum field theories, Inst. Hautes Études Sci. Publ. Math. 68
1988
Cited alongside, same era.
G. Segal, The definition of conformal field theory, Differential geometrical methods in theoretical physics (Como, 1987), 165–171, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 250, Kluwer Acad. Publ., Dordrecht, 1988
1988
Cited alongside, same era.
G. Kuperberg, An exploration of the permanent-determinant method. Electron. J. Combin. 5
1998
Cited alongside, same era.
A. Galluccio and M. Loebl, On the theory of Pfaffian orientations. I. Perfect matchings and permanents. Electron. J. Combin. 6
1999
Cited alongside, same era.
D. Cimasoni and N. Reshetikhin, Dimers on surface graphs and spin structures. I, to appear in Comm. Math. Phys
Cited in the paper.
G. Tesler, Matchings in graphs on non-orientable surfaces, J. Combin. Theory Ser. B 78
2000
Later among the works it cites.
H. Cohn, R. Kenyon and J. Propp, A variational principle for domino tilings. J. Amer. Math. Soc. 14
2001
Later among the works it cites.
R. Kenyon and A. Okounkov, Planar dimers and Harnack curves. Duke Math. J. 131
2006
Later among the works it cites.
R. Kenyon, A. Okounkov and S. Sheffield, Dimers and amoebae. Ann. of Math. (2) 163
2006
Later among the works it cites.
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