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

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

5. Mirror theorem for a product of projective bundles

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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