Duals of semisimple Poisson-Lie groups and cluster theory of moduli spaces of G-local systems

Linhui Shen

We study the dual ${\mathrm{G}}^{\ast }$ of a standard semisimple Poisson-Lie group $\mathrm{G}$ from a perspective of cluster theory. We show that the coordinate ring $\mathcal{O}({\rm G}^\a…