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math.CO2023
Matrix Formulae and Skein Relations for Quasi-Cluster Algebras
Cody Gilbert, McCleary Philbin, Kayla Wright
In this paper, we give matrix formulae for non-orientable surfaces that provide the Laurent expansion for quasi-cluster variables, generalizing the orientable surface matrix formul…
math.CO2023★ 1 cited
Twists of Gr(3,n) Cluster Variables as Double and Triple Dimer Partition Functions
Moriah Elkin, Gregg Musiker, Kayla Wright
We give a combinatorial interpretation for certain cluster variables in Grassmannian cluster algebras in terms of double and triple dimer configurations. More specifically, we exam…