6 citations · 8 across the 10 of their papers we have counts for
10 papers
Dual Affine Robinson-Schensted Correspondence
Daoji Huang, Sylvester W. Zhang
We introduce the dual affine Robinson-Schensted correspondence that gives a bijection between the extended affine symmetric group and tuples , where $\bar{P}…
Schubert Calculus and the Heisenberg Algebra
Sylvester W. Zhang
We show that the Hilbert space with basis indexed by infinite permutations and the cohomology ring of the infinite flag variety can be seen as representations of the Heisenberg alg…
Higher Dimer Covers on Snake Graphs
Gregg Musiker, Nicholas Ovenhouse, Ralf Schiffler +1
Snake graphs are a class of planar graphs that are important in the theory of cluster algebras. Indeed, the Laurent expansions of the cluster variables in cluster algebras from sur…
Matrix Formulae for Decorated Super Teichmüller Spaces
Gregg Musiker, Nicholas Ovenhouse, Sylvester W. Zhang
For an arc on a bordered surface with marked points, we associate a holonomy matrix using a product of elements of the supergroup , which defines a flat $\mathrm…
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…
Rowmotion Orbits of Trapezoid Posets
Quang Vu Dao, Julian Wellman, Calvin Yost-Wolff +1
Rowmotion is an invertible operator on the order ideals of a poset which has been extensively studied and is well understood for the rectangle poset. In this paper, we show that ro…
Arborescences of Covering Graphs
Sunita Chepuri, CJ Dowd, Andy Hardt +3
An arborescence of a directed graph is a spanning tree directed toward a particular vertex . The arborescences of a graph rooted at a particular vertex may be encoded as a p…