**Author:**

(1) Yuki Koto

## Table of Links

- Abstract and Intro
- Genus-zero Gromov-Witten Theory
- Toric Bundles
- Lagrangian cones of Toric bundles
- Mirror theorem for a product of projectives bundles
- Mirror Theorem for Toric Bundles
- Appendix A. Equivariant Fourier Transformation and References

## 6. Mirror theorem for toric bundles

In this section, we will prove the mirror theorem (Theorem 6.1) for (possibly non-split) toric bundles. Throughout this section, we fix the following data:

for any vector bundle V . Using these formulas and the projection formula, it holds that

From the calculations above, the right-hand side of (6.2) can be computed as follow:

which coincides with (6.3).

This paper is available on arxiv under CC 4.0 license.