Generalized cluster structures related to Poisson duals of ${\mathrm{SL}}_n$

Michael Gekhtman, Dmitriy Voloshyn

We study Poisson varieties $({\mathrm{SL}}_n,\ddot{I}{€}_{\overline{\hat{\mathbf{I}}“}}^{†})$ parameterized by Belavin--Drinfeld quadruples $\overline{\hat{\mathbf{I}}“}:=(\hat{\mathbf{I}}“,r_0)$ of type $A_{n-1}$ along…