Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2510.12735 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912647057768448 |
|---|---|
| author | Friedman, Benjamin |
| author_facet | Friedman, Benjamin |
| contents | Given a (possibly non-Kähler) Calabi--Yau threefold $(X,Ω)$, we introduce the notion of a (perturbed) special Lagrangian (SL) submanifold of $(X,ω,Ω)$, where $ω$ is a Hermitian metric on $X$. The equations defining this class of submanifolds reduce to the usual SL equations when $ω$ is a Kähler metric. Using the Sard--Smale technique, we prove the existence of a comeagre set of Hermitian metrics $ω$ on $X$ such that the moduli space of perturbed SL submanifolds in $(X,ω,Ω)$ consists of isolated points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12735 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generic special Lagrangian moduli spaces of a non-Kähler Calabi--Yau threefold Friedman, Benjamin Differential Geometry Given a (possibly non-Kähler) Calabi--Yau threefold $(X,Ω)$, we introduce the notion of a (perturbed) special Lagrangian (SL) submanifold of $(X,ω,Ω)$, where $ω$ is a Hermitian metric on $X$. The equations defining this class of submanifolds reduce to the usual SL equations when $ω$ is a Kähler metric. Using the Sard--Smale technique, we prove the existence of a comeagre set of Hermitian metrics $ω$ on $X$ such that the moduli space of perturbed SL submanifolds in $(X,ω,Ω)$ consists of isolated points. |
| title | Generic special Lagrangian moduli spaces of a non-Kähler Calabi--Yau threefold |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2510.12735 |