3 papers
math.QA2026
Nuancing the unicity of -rationals
Perrine Jouteur, Olga Paris-Romaskevich, Alexander Thomas
We prove unicity of -rational numbers up to conjugacy, using character varieties. Despite the unicity, we exhibit a two-parameter family of deformations of rationals with a modu…
math.QA2026
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…
math-ph2026
Spectral Networks: Bridging higher-rank Teichmüller theory and BPS states
Clarence Kineider, Georgios Kydonakis, Eugen Rogozinnikov +2
This book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the…