A Mirror Theorem for Non-split Toric Bundles: Mirror Theorem for Toric Bundles

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).