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

Written by semaphores | Published 2024/06/10
Tech Story Tags: mirror-theorem | non-split-toric-bundles | toric-bundles | brown's-i-function | givental-lagrangian-cones | gromov-witten-theory | fiber | riemann-roch-theorem

TLDRThis research paper develops a new method (I-functions) for understanding mirror symmetry in complex spaces called non-split toric bundles.via the TL;DR App

Author:

(1) Yuki Koto

Table of Links

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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Published by HackerNoon on 2024/06/10