4 papers
Dihedral Linking Invariants
Patricia Cahn, Elise Catania, Sarangoo Chimgee +2
A Fox p-colored knot in gives rise to a corresponding -fold dihedral branched cover of along . The pre-image of the knot under the covering map is a $…
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…
Identifying Orbit Lengths for Promotion
Elise Catania, Jack Kendrick, Heather M. Russell +1
In this work we study Schützenberger's promotion operator on standard Young tableaux via a corresponding graphical construction known as diagrams. In particular, we prove that…
A Toric Analogue for Greene's Rational Function of a Poset
Elise Catania
Given a finite poset, Greene introduced a rational function obtained by summing certain rational functions over the linear extensions of the poset. This function has interesting in…