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

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10 Jun 2024

Author:

(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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