Gromov–Witten Invariants of Toric Fibrations

We prove a conjecture of Elezi [6] in a generalized form suggested by Givental [9]. Namely, our main result relates genus-0 Gromov–Witten invariants of a bundle space with such invariants of the base, provided that the fiber is a toric manifold. When the base is the point, a new proof of mirror theorems by Givental [7] and Iritani [14] for toric manifolds is obtained.