A Mirror Theorem for Non-split Toric Bundles: Toric Bundles
by Semaphores Technology PublicationJune 10th, 2024
Too Long; Didn't Read
This research paper develops a new method (I-functions) for understanding mirror symmetry in complex spaces called non-split toric bundles.
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
3. Toric bundles
In this section we introduce toric bundles. We first review toric varieties, and then define toric bundles by doing the construction of toric varieties in a relative setting. Note that they include toric bundles appearing in [5] [21]. We then investigate geometric structures of toric bundles: T-equivariant cohomology ring (3.2), effective curves (3.3), T-fixed loci and one-dimensional orbits (3.4).
As explained in Section 1, mirror theorems for split toric bundles [5] and (non-split) projective bundles [21] are already known. We will prove a mirror theorem for (non-split) toric bundles (Theorem 6.1).
This paper is available on arxiv under CC 4.0 license.
L O A D I N G
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