Lie Algebroid Connections on Principal Bundles
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912392635482112 |
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| author | Ghosh, Samit Paul, Arjun |
| author_facet | Ghosh, Samit Paul, Arjun |
| contents | Let $X$ be an irreducible smooth complex projective variety. Let $G$ be a linear algebraic group over $\mathbb{C}$. We define the notion of Lie algebroid valued connection on holomorphic principal $G$--bundles on $X$, and study their basic properties under extension and reduction of structure group. Finally we investigate criterions for existence of a Lie algebroid connection on principal $G$--bundles over smooth complex projective curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18821 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lie Algebroid Connections on Principal Bundles Ghosh, Samit Paul, Arjun Algebraic Geometry Differential Geometry 14J60, 53C07, 32L10 Let $X$ be an irreducible smooth complex projective variety. Let $G$ be a linear algebraic group over $\mathbb{C}$. We define the notion of Lie algebroid valued connection on holomorphic principal $G$--bundles on $X$, and study their basic properties under extension and reduction of structure group. Finally we investigate criterions for existence of a Lie algebroid connection on principal $G$--bundles over smooth complex projective curves. |
| title | Lie Algebroid Connections on Principal Bundles |
| topic | Algebraic Geometry Differential Geometry 14J60, 53C07, 32L10 |
| url | https://arxiv.org/abs/2505.18821 |