Moduli spaces of spacefilling branes in symplectic 4-manifolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913889815363584 |
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| author | Kirchhoff-Lukat, Charlotte Zambon, Marco |
| author_facet | Kirchhoff-Lukat, Charlotte Zambon, Marco |
| contents | On a symplectic manifold $(M, ω)$, a spacefilling brane structure is a closed 2-form $F$ which determines a complex structure, with respect to which $F +iω$ is holomorphic symplectic. For holomorphic symplectic compact Kähler 4-manifolds, we show that the moduli space of spacefilling branes is smooth, and determine its dimension. The proof relies on the local Torelli theorem for K3 surfaces and tori. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07926 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moduli spaces of spacefilling branes in symplectic 4-manifolds Kirchhoff-Lukat, Charlotte Zambon, Marco Symplectic Geometry Algebraic Geometry Differential Geometry On a symplectic manifold $(M, ω)$, a spacefilling brane structure is a closed 2-form $F$ which determines a complex structure, with respect to which $F +iω$ is holomorphic symplectic. For holomorphic symplectic compact Kähler 4-manifolds, we show that the moduli space of spacefilling branes is smooth, and determine its dimension. The proof relies on the local Torelli theorem for K3 surfaces and tori. |
| title | Moduli spaces of spacefilling branes in symplectic 4-manifolds |
| topic | Symplectic Geometry Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2501.07926 |