Notes on obstructions in the hyperbolic Clifford algebra bundle structure
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866916017903501312 |
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| author | da Silva, J. M. Hoff Notte-Cuello, E. |
| author_facet | da Silva, J. M. Hoff Notte-Cuello, E. |
| contents | Starting from a general analysis of obstruction classes, we develop the investigation of obstructions associated with the bundle structure of the hyperbolic Clifford algebra. By taking into account particularities arising from the Whitney sum, it is shown that, unlike classical tangent bundle cases, the hyperbolic frame bundle admits lifting without any topological obstruction. This leads to the possibility of always defining spinor structures in hyperbolic Clifford bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16558 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Notes on obstructions in the hyperbolic Clifford algebra bundle structure da Silva, J. M. Hoff Notte-Cuello, E. Mathematical Physics High Energy Physics - Theory Starting from a general analysis of obstruction classes, we develop the investigation of obstructions associated with the bundle structure of the hyperbolic Clifford algebra. By taking into account particularities arising from the Whitney sum, it is shown that, unlike classical tangent bundle cases, the hyperbolic frame bundle admits lifting without any topological obstruction. This leads to the possibility of always defining spinor structures in hyperbolic Clifford bundles. |
| title | Notes on obstructions in the hyperbolic Clifford algebra bundle structure |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.16558 |