Quantum McKay correspondence for disc invariants of toric Calabi-Yau 3-orbifolds

We announce a result on quantum McKay correspondence for disc invariants of outer legs in toric Calabi-Yau 3-orbifolds, and illustrate our method in a special example $[{\mathbb{C}}^3\mathrm{/}{\mathbb{Z}}_5(1,1,3)]$.