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

10 Jun 2024


(1) Yuki Koto

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).

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