English

Gromov-- Witten Invariants of Toric Fibrations

Algebraic Geometry 2009-01-12 v1

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 by H. Iritani for toric manifolds is obtained.

Keywords

Cite

@article{arxiv.0901.1290,
  title  = {Gromov-- Witten Invariants of Toric Fibrations},
  author = {Jeffrey Brown},
  journal= {arXiv preprint arXiv:0901.1290},
  year   = {2009}
}