Gromov-Hausdorff continuity of non-Kähler Calabi-Yau conifold transitions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914218064740352 |
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| author | Friedman, Benjamin Picard, Sébastien Suan, Caleb |
| author_facet | Friedman, Benjamin Picard, Sébastien Suan, Caleb |
| contents | We study the geometry of Calabi-Yau conifold transitions. This deformation process is known to possibly connect a Kähler threefold to a non-Kähler threefold. We use balanced and Hermitian-Yang-Mills metrics to geometrize the conifold transition and show that the whole operation is continuous in the Gromov-Hausdorff topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11840 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gromov-Hausdorff continuity of non-Kähler Calabi-Yau conifold transitions Friedman, Benjamin Picard, Sébastien Suan, Caleb Differential Geometry High Energy Physics - Theory Metric Geometry We study the geometry of Calabi-Yau conifold transitions. This deformation process is known to possibly connect a Kähler threefold to a non-Kähler threefold. We use balanced and Hermitian-Yang-Mills metrics to geometrize the conifold transition and show that the whole operation is continuous in the Gromov-Hausdorff topology. |
| title | Gromov-Hausdorff continuity of non-Kähler Calabi-Yau conifold transitions |
| topic | Differential Geometry High Energy Physics - Theory Metric Geometry |
| url | https://arxiv.org/abs/2404.11840 |