Holomorphic linking numbers, ABC Massey products, and Calabi-Yau 3-folds
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908686568390656 |
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| author | Martín-Merchán, Lucía Stelzig, Jonas |
| author_facet | Martín-Merchán, Lucía Stelzig, Jonas |
| contents | On compact Kähler manifolds, we relate ABC Massey products arising from complex analytic cycles to holomorphic linking numbers. This enables us to construct a family of simply connected projective 3-folds with trivial canonical bundle, equipped with a non-vanishing ABC Massey product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02187 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holomorphic linking numbers, ABC Massey products, and Calabi-Yau 3-folds Martín-Merchán, Lucía Stelzig, Jonas Differential Geometry Algebraic Geometry Algebraic Topology On compact Kähler manifolds, we relate ABC Massey products arising from complex analytic cycles to holomorphic linking numbers. This enables us to construct a family of simply connected projective 3-folds with trivial canonical bundle, equipped with a non-vanishing ABC Massey product. |
| title | Holomorphic linking numbers, ABC Massey products, and Calabi-Yau 3-folds |
| topic | Differential Geometry Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2512.02187 |