  For $L \hookrightarrow X$ a Lagrangian embedding associated with a real
homogeneous space, we construct the moduli space of stable holomorphic discs
mapping to $(X,L)$ as an orbifold with corners equipped with a group action.
Some essential constructions involving orbifolds with corners are also
discussed, including the existence of fibered products and pushforward and
pullback of differential forms with values in a local system.
