An action of the cactus group
arXiv:0705.3000
Abstract
We 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 Reports