On the quantum differential equations for a family of non-Kähler monotone symplectic manifolds
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913235906592768 |
|---|---|
| author | Hugtenburg, Kai |
| author_facet | Hugtenburg, Kai |
| contents | In this paper we prove Gamma Conjecture $1$ for twistor bundles of hyperbolic $6$ manifolds, which are monotone symplectic manifolds which admit no Kähler structure. The proof involves a direct computation of the $J$-function, and a version of Laplace's method for estimating power series (as opposed to integrals). This method allows us to rephrase Gamma Conjecture $1$ in certain situations to an Apéry-like discrete limit. We use this to give a simple proof of Gamma Conjecture $1$ for projective spaces. Additionally we show that the quantum connections of the twistor bundles we consider have unramified exponential type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10867 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the quantum differential equations for a family of non-Kähler monotone symplectic manifolds Hugtenburg, Kai Symplectic Geometry Algebraic Geometry 53D45 In this paper we prove Gamma Conjecture $1$ for twistor bundles of hyperbolic $6$ manifolds, which are monotone symplectic manifolds which admit no Kähler structure. The proof involves a direct computation of the $J$-function, and a version of Laplace's method for estimating power series (as opposed to integrals). This method allows us to rephrase Gamma Conjecture $1$ in certain situations to an Apéry-like discrete limit. We use this to give a simple proof of Gamma Conjecture $1$ for projective spaces. Additionally we show that the quantum connections of the twistor bundles we consider have unramified exponential type. |
| title | On the quantum differential equations for a family of non-Kähler monotone symplectic manifolds |
| topic | Symplectic Geometry Algebraic Geometry 53D45 |
| url | https://arxiv.org/abs/2402.10867 |