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Gromov--Witten Invariants of Toric Fibrations

  • Author(s): Brown, Jeffrey Steven
  • Advisor(s): Givental, Alexander B
  • et al.
Abstract

We prove a conjecture of Artur Elezi in a generalized form suggested by Givental. 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 A. Givental and H. Iritani for toric manifolds is obtained.

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