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Double Dimer Covers on Snake Graphs from Super Cluster Expansions
Gregg Musiker, Nicholas Ovenhouse, Sylvester W. Zhang
In a recent paper, the authors gave combinatorial formulas for the Laurent expansions of super -lengths in a marked disk, generalizing Schiffler's -path formula. In the prese…
A Lattice Model for Super LLT Polynomials
Michael J. Curran, Claire Frechette, Calvin Yost-Wolff +2
We introduce a solvable lattice model for supersymmetric LLT polynomials, also known as super LLT polynomials, based upon particle interactions in super n-ribbon tableaux. Using op…
Rooted Clusters for Graph LP Algebras
Esther Banaian, Sunita Chepuri, Elizabeth Kelley +1
LP algebras, introduced by Lam and Pylyavskyy, are a generalization of cluster algebras. These algebras are known to have the Laurent phenomenon, but positivity remains conjectural…
An Expansion Formula for Decorated Super-Teichmüller Spaces
Gregg Musiker, Nicholas Ovenhouse, Sylvester W. Zhang
Motivated by the definition of super-Teichmüller spaces, and Penner-Zeitlin's recent extension of this definition to decorated super-Teichmüller space, as examples of super Riemann…