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math.CO2023★ 1 cited
Consistent Dimer Models on Surfaces with Boundary
Jonah Berggren, Khrystyna Serhiyenko
A dimer model is a quiver with faces embedded in a surface. We define and investigate notions of consistency for dimer models on general surfaces with boundary which restrict to we…
math.CO2023
D Farey graph, lambda lengths and -tilings
Anna Felikson, Oleg Karpenkov, Khrystyna Serhiyenko +1
We explore a three-dimensional counterpart of the Farey tessellation and its relations to Penner's lambda lengths and -tilings. In particular, we prove a three-dimensional ve…