Transversality for perturbed special Lagrangian submanifolds
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929445774819328 |
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| author | Windes, Emily Autumn |
| author_facet | Windes, Emily Autumn |
| contents | In this paper, we prove a transversality theorem for the moduli space of perturbed special Lagrangian submanifolds in a 6-dimensional manifold equipped with a generalization of a Calabi-Yau structure. These perturbed special Lagrangian submanifolds arise as solutions to an infinite-dimensional Lagrange multipliers problem which is part of a proposal for counting special Lagrangians outlined by Donaldson and Segal in their paper Gauge theory in higher dimensions II. More specifically, we prove that this moduli space is generically a set of isolated points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17948 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transversality for perturbed special Lagrangian submanifolds Windes, Emily Autumn Differential Geometry Symplectic Geometry In this paper, we prove a transversality theorem for the moduli space of perturbed special Lagrangian submanifolds in a 6-dimensional manifold equipped with a generalization of a Calabi-Yau structure. These perturbed special Lagrangian submanifolds arise as solutions to an infinite-dimensional Lagrange multipliers problem which is part of a proposal for counting special Lagrangians outlined by Donaldson and Segal in their paper Gauge theory in higher dimensions II. More specifically, we prove that this moduli space is generically a set of isolated points. |
| title | Transversality for perturbed special Lagrangian submanifolds |
| topic | Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2406.17948 |