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math.AG2022
The inverse spectral map for dimers
Terrence George, Alexander Goncharov, Richard Kenyon
In 2015, Vladimir Fock proved that the spectral transform, associating to an element of a dimer cluster integrable system its spectral data, is birational by constructing an invers…
math.AG2003★ 13 cited
Planar dimers and Harnack curves
Richard Kenyon, Andrei Okounkov
In this paper we study the connection between dimers and Harnack curves discovered in math-ph/0311005. We prove that every Harnack curve arises as a spectral curve of some dimer mo…