16 citations · 46 across the 9 of their papers we have counts for
9 papers
Chainlink Polytopes and Ehrhart-Equivalence
Ezgi Kantarcı Oğuz, Cem Yalım Özel, Mohan Ravichandran
We introduce a class of polytopes that we call chainlink polytopes and which allow us to construct infinite families of pairs of non isomorphic rational polytopes with the same Ehr…
Oriented posets, Rank Matrices and q-deformed Markov Numbers
Ezgi Kantarcı Oğuz
We define oriented posets with correpsonding rank matrices, where linking two posets by an edge corresponds to matrix multiplication. In particular, linking chains via this method…
Rank Polynomials of Fence Posets are Unimodal
Ezgi Kantarcı Oğuz, Mohan Ravichandran
We prove a conjecture of Morier-Genoud and Ovsienko that says that rank polynomials of the distributive lattices of lower ideals of fence posets are unimodal. We do this by introdu…
Promotion and cyclic sieving on families of SSYT
Per Alexandersson, Ezgi Kantarci Oğuz, Svante Linusson
We examine a few families of semistandard Young tableaux, for which we observe the cyclic sieving phenomenon under promotion. The first family we consider consists of stretched hoo…
Connecting descent and peak polynomials
Ezgi Kantarci Oğuz
A permutation has a descent at if . A descent is called a peak if and is not a descent. The size of the set of all permutati…
A Counter Example to the Shuffle Compatiblity Conjecture
Ezgi Kantarcı Oğuz
The shuffle product has a connection with several useful permutation statistics such as descent and peak, and corresponds to the multiplication operation in the corresponding desce…
A local characterization of crystals for the quantum queer superalgebra
Sami Assaf, Ezgi Kantarci Oguz
We define operators on semistandard shifted tableaux and use Stembridge's local characterization for regular graphs to prove they define a crystal structure. This gives a new proof…
Crystal graphs for shifted tableaux
Sami Assaf, Ezgi Kantarcı Oğuz
We define crystal operators on semistandard shifted tableaux, giving a new proof that Schur -functions are Schur positive. We define a queer crystal operator to construct a conn…
A Type B Analogue to Ribbon Tableaux
Ezgi Kantarcı Oğuz
We introduce a shifted analogue of the ribbon tableaux defined by James and Kerber. For any positive integer , we give a bijection between the -ribbon fillings of a shifted s…