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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.GT2022
Dimers, webs, and local systems
Daniel C. Douglas, Richard Kenyon, Haolin Shi
For a planar bipartite graph equipped with a -local system, we show that the determinant of the associated Kasteleyn matrix counts "-multiwebs" (gene…