  We conjecture an evaluation of three-partition cyclic Hodge integrals in
terms of loop Schur functions. Our formula implies the orbifold
Gromov-Witten/Donaldson-Thomas correspondence for toric Calabi-Yau threefolds
with transverse type A singularities. We prove the formula in the case where
one of the partitions is empty, and thus establish the orbifold Gromov-
Witten/Donaldson-Thomas correspondence for local toric surfaces with transverse
type A singularities.
