3 papers
math.CO2026
Cluster Expansions from Punctured Orbifolds
Esther Banaian, Wonwoo Kang, Elizabeth Kelley +2
We provide multiple combinatorial expansion formulas - in terms of snake graphs, labelled posets, matrices, and -walks - for elements in generalized cluster algebras associated…
math.CO2025
Local Statistics of the -Dimer Model
Nickolas Anderson, Moriah Elkin, Elizabeth Kelley +2
The classical dimer model is concerned with the (weighted) enumeration of perfect matchings of a graph. An -dimer cover is a multiset of edges that can be realized as the disjoi…
math.CO2024
Skein relations for punctured surfaces
Esther Banaian, Wonwoo Kang, Elizabeth Kelley
We investigate skein relations in cluster algebras from punctured surfaces, extending the work of Ãanakçi-Schiffler and Musiker-Williams on unpunctured surfaces. Using a combinat…