2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129293We construct an action of the big cactus group (the fundamental group of the Deligne-Mumford compactification of the moduli space of real curves of genus zero with n undistinguished marked points) on Fock-Goncharov's SL_m analog of the decorated Teichmuller space of ideal n-gons.3 pages, to appear in the Oberwolfach ReportsAlgebraic GeometryCombinatorics14E07text