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

:::info
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:


n


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).

:::info
This paper is available on arxiv under CC 4.0 license.

:::

Leave a Comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.