3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CO2024
Punctured surfaces, quiver mutations, and quotients of Coxeter groups
Anna Felikson, Michael Shapiro, Pavel Tumarkin
In 2011, Barot and Marsh provided an explicit construction of presentation of a finite Weyl group by any quiver mutation-equivalent to an orientation of a Dynkin diagram with W…
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.QA2020★ 3 cited
Darboux coordinates for symplectic groupoid and cluster algebras
L. Chekhov, M. Shapiro
Using Fock--Goncharov higher Teichmüller space variables we derive Darboux coordinate representation for entries of general symplectic leaves of the groupoid of uppe…