Open-closed Deligne-Mumford field theories: geometric foundations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911647318147072 |
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| author | Hirschi, Amanda Hugtenburg, Kai |
| author_facet | Hirschi, Amanda Hugtenburg, Kai |
| contents | We construct global Kuranishi charts for moduli spaces of pseudo-holomorphic maps of arbitrary genus with boundary on an embedded Lagrangian submanifold. We then build the geometric foundations required for obtaining compatible chain-level operations, which are employed in follow-up work to construct an open-closed Deligne-Mumford field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04687 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Open-closed Deligne-Mumford field theories: geometric foundations Hirschi, Amanda Hugtenburg, Kai Symplectic Geometry 53D12, 53D45, 53D37 We construct global Kuranishi charts for moduli spaces of pseudo-holomorphic maps of arbitrary genus with boundary on an embedded Lagrangian submanifold. We then build the geometric foundations required for obtaining compatible chain-level operations, which are employed in follow-up work to construct an open-closed Deligne-Mumford field theory. |
| title | Open-closed Deligne-Mumford field theories: geometric foundations |
| topic | Symplectic Geometry 53D12, 53D45, 53D37 |
| url | https://arxiv.org/abs/2501.04687 |