5 papers
The Cyclic Sieving Phenomenon and frieze patterns
Ashleigh Adams, Esther Banaian
We exhibit two instances of the cyclic sieving phenomenon - one on dissections of a polygon of a fixed type and one on triangulations of a once-punctured polygon. We use these resu…
Twists, Higher Dimer Covers, and Web Duality for Grassmannian Cluster Algebras
Esther Banaian, Elise Catania, Christian Gaetz +3
We study a twisted version of Fraser, Lam, and Le's higher boundary measurement map, using face weights instead of edge weights, thereby providing Laurent polynomial expansions, in…
A geometric model for semilinear locally gentle algebras
Esther Banaian, Raphael Bennett-Tennenhaus, Karin M. Jacobsen +1
We consider certain generalizations of gentle algebras that we call semilinear locally gentle algebras. These rings are examples of semilinear clannish algebras as introduced by th…
Friezes over
Esther Banaian, Libby Farrell, Amy Tao +2
A frieze on a polygon is a map from the diagonals of the polygon to an integral domain which respects the Ptolemy relation. Conway and Coxeter previously studied positive friezes o…
Periodic Infinite Frieze Patterns of Type and Dissections on Annuli
Esther Banaian, Jiuqi Chen
Finite frieze patterns with entries in where and were shown to have a co…