TL;DR —
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
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).
This paper is available on arxiv under CC 4.0 license.
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Topics and
tags
tags
mirror-theorem|non-split-toric-bundles|toric-bundles|brown's-i-function|givental-lagrangian-cones|gromov-witten-theory|fiber|riemann-roch-theorem
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