Gromov-- Witten Invariants of Toric Fibrations

Details Gromov-- Witten Invariants of Toric Fibrations Gromov-- Witten Invariants of Toric Fibrations

2009-01-09

arxiv.org/abs/0901.1290v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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