3 papers
math.QA2025
The algebraic modular functor conjecture in type quantum Teichmüller theory
Gus Schrader, Alexander Shapiro
Fock and Goncharov introduced a quantization of higher Teichmüller theory using cluster Poisson varieties and their noncommutative deformations, associating to a complex semisimple…
math.RT2024
Cluster structure on genus 2 spherical DAHA: seven-colored flower
Semeon Arthamonov, Leonid Chekhov, Philippe Di Francesco +4
We construct an embedding of the Arthamonov-Shakirov algebra of genus 2 knot operators into the quantized coordinate ring of the cluster Poisson variety of exceptional finite mutat…
math.AG2004
Braid Monodromy Type and Rational Transformations of Plane Algebraic Curves
S. Kaplan, A. Shapiro, M. Teicher
We combine the newly discovered technique, which computes explicit formulas for the image of an algebraic curve under rational transformation, with techniques that enable to comput…