Moduli of special Lagrangians with boundary, II: Lagrangian Flux and Affine Structures
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908313011093504 |
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| author | Pidaparthy, Vasanth |
| author_facet | Pidaparthy, Vasanth |
| contents | This article continues the study of moduli spaces of special Lagrangians with boundary in a Calabi--Yau manifold. The moduli space was shown to be a smooth finite-dimensional manifold in the prequel arXiv:2503.6321918. This article investigates geometric structures on the moduli space of special Lagrangians with boundary and constructs a pair of special affine structures and a Hessian metric on this moduli space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23532 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moduli of special Lagrangians with boundary, II: Lagrangian Flux and Affine Structures Pidaparthy, Vasanth Differential Geometry This article continues the study of moduli spaces of special Lagrangians with boundary in a Calabi--Yau manifold. The moduli space was shown to be a smooth finite-dimensional manifold in the prequel arXiv:2503.6321918. This article investigates geometric structures on the moduli space of special Lagrangians with boundary and constructs a pair of special affine structures and a Hessian metric on this moduli space. |
| title | Moduli of special Lagrangians with boundary, II: Lagrangian Flux and Affine Structures |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.23532 |