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math.CO2026
Three formulas for CSM classes of open quiver loci
Moriah Elkin
In the space of equioriented type quiver representations, we define subvarieties called "open quiver loci" by placing strict rank conditions on the maps within representations.…
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
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…