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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.04177 |
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| _version_ | 1866914379074633728 |
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| author | Fino, Anna Grantcharov, Gueo Tardini, Nicoletta Tomassini, Adriano Vezzoni, Luigi |
| author_facet | Fino, Anna Grantcharov, Gueo Tardini, Nicoletta Tomassini, Adriano Vezzoni, Luigi |
| contents | In the paper we study the Bott-Chern and Aeppli cohomologies of the twistor space of a compact self-dual 4-manifold and we characterize the validity of the $\partial \overline \partial$-lemma. We also compute explicitly the Dolbeault cohomology of the twistor space $Z$ of the flat $4$-dimensional torus, which is known to not satisfy the $\partial\overline{\partial}$ lemma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\del\delbar$-Lemma and Bott-Chern cohomology of twistor spaces Fino, Anna Grantcharov, Gueo Tardini, Nicoletta Tomassini, Adriano Vezzoni, Luigi Differential Geometry 53C28, 32C35 In the paper we study the Bott-Chern and Aeppli cohomologies of the twistor space of a compact self-dual 4-manifold and we characterize the validity of the $\partial \overline \partial$-lemma. We also compute explicitly the Dolbeault cohomology of the twistor space $Z$ of the flat $4$-dimensional torus, which is known to not satisfy the $\partial\overline{\partial}$ lemma. |
| title | $\del\delbar$-Lemma and Bott-Chern cohomology of twistor spaces |
| topic | Differential Geometry 53C28, 32C35 |
| url | https://arxiv.org/abs/2508.04177 |