Perrine Jouteur

collaborators

4 papers

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.QA2026

q-Rationals, link invariants and webs

Perrine Jouteur, Hoel Queffelec

We investigate the role of q-rationals in the context of link invariants. This leads us to introduce and study web categories that q-deform Deligne's categories.

math.CO2025

On $q$ -deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges

Sam Evans, Perrine Jouteur, Sophie Morier-Genoud +1

We consider a natural $q$ -deformation of the classical Markov numbers. This $q$ -deformation is closely related to $q$ -deformed rational numbers recently introduced by two of us. Bo…