4 papers · 1 filter
Nuancing the uniqueness of -rationals
Perrine Jouteur, Olga Paris-Romaskevich, Alexander Thomas
We prove uniqueness of -rational numbers up to conjugacy, using character varieties. Despite the uniqueness, we exhibit a two-parameter family of deformations of rationals with…
Plane geometry of -rationals and Springborn Operations
Perrine Jouteur, Olga Paris-Romaskevich, Alexander Thomas
We study the geometry of -rational numbers, introduced by Morier-Genoud and Ovsienko, for positive real . In particular, we construct and analyse the deformed Farey triangula…
A mirror deformation of Markov numbers
Léa Bittmann, Perrine Jouteur, Ezgi Kantarcı Oğuz +2
We introduce a deformed squared Markov equation given by . Symmetric solutions of this new equation present a remarka…
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.