4 papers
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…
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…
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…
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…