  We analyse holomorphic discs on Lagrangian SU(2)-orbits in a family of
quasihomogeneous threefolds of SL(2, C), previously studied by Evans-Lekili,
introducing several techniques that should be applicable to wider classes of
homogeneous Lagrangians. By studying the closed-open map we place strong
restrictions on the self-Floer cohomology of these Lagrangians, which we then
compute using the Biran-Cornea pearl complex.
