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A Mirror Theorem for Non-split Toric Bundles: Mirror Theorem for a Product of Projectives Bundle by@semaphores

by Semaphores Technology PublicationJune 10th, 2024

**Author:**

(1) Yuki Koto

- 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

In this section, we construct a twisted *I*-function for a product of projective bundles each coming from a vector bundle. The proof is based on the proof of the mirror theorem for a projective bundle [21, Theorem 1.1]. This section is independent of the previous section. By combining Theorem 4.2 with the mirror theorem (Theorem 5.1), we will establish the main result in the next section.

**Remark 5.8.** For convenience, we list the rings to which the functions introduced in this section belong.

This paper is available on arxiv under CC 4.0 license.

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