Ezgi Kantarci Ouguz

collaborators

3 papers

math.CO2026

Cluster Expansions from Punctured Orbifolds

Esther Banaian, Wonwoo Kang, Elizabeth Kelley +2

We provide multiple combinatorial expansion formulas - in terms of snake graphs, labelled posets, matrices, and $T$ -walks - for elements in generalized cluster algebras associated…

math.CO2026

A mirror deformation of Markov numbers

Léa Bittmann, Perrine Jouteur, Ezgi Kantarcı Oğuz +2

We introduce a deformed squared Markov equation given by $X^{2} + Y^{2} + Z^{2} + (q + q^{- 1}) (X Y + Y Z + X Z) = 3 (1 + q + q^{- 1}) X Y Z$ . Symmetric solutions of this new equation present a remarka…

math.CO2023

Cylindric Schur functions

Per Alexandersson, Ezgi Kantarci Oğuz

We generalize several classical results about Schur functions to the family of cylindric Schur functions. First, we give a combinatorial proof of a Murnaghan--Nakayama formula for…