Calabi-Yau threefolds with boundary
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910378640801792 |
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| author | Donaldson, Simon Lehmann, Fabian |
| author_facet | Donaldson, Simon Lehmann, Fabian |
| contents | We develop the deformation theory of Calabi-Yau threefolds, by which we mean 3-dimensional complex manifolds with a nowhere-vanishing holomorphic 3-form, on manifolds with boundary. The boundary data is a closed, real 3-form on the 5-dimensional boundary. In the case of strongly pseudoconvex boundary, we obtain an analogue of Hitchin's local Torelli Theorem for compact manifolds, modulo a finite dimensional obstruction space, which we show is zero in many cases of interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15184 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Calabi-Yau threefolds with boundary Donaldson, Simon Lehmann, Fabian Differential Geometry 53C26, 32T12 We develop the deformation theory of Calabi-Yau threefolds, by which we mean 3-dimensional complex manifolds with a nowhere-vanishing holomorphic 3-form, on manifolds with boundary. The boundary data is a closed, real 3-form on the 5-dimensional boundary. In the case of strongly pseudoconvex boundary, we obtain an analogue of Hitchin's local Torelli Theorem for compact manifolds, modulo a finite dimensional obstruction space, which we show is zero in many cases of interest. |
| title | Calabi-Yau threefolds with boundary |
| topic | Differential Geometry 53C26, 32T12 |
| url | https://arxiv.org/abs/2403.15184 |