**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

## 3. Toric bundles

In this section we introduce toric bundles. We first review toric varieties, and then define toric bundles by doing the construction of toric varieties in a relative setting. Note that they include toric bundles appearing in [5] [21]. We then investigate geometric structures of toric bundles: T-equivariant cohomology ring (3.2), effective curves (3.3), T-fixed loci and one-dimensional orbits (3.4).

As explained in Section 1, mirror theorems for split toric bundles [5] and (non-split) projective bundles [21] are already known. We will prove a mirror theorem for (non-split) toric bundles (Theorem 6.1).

This paper is available on arxiv under CC 4.0 license.