Exotic Hopf maps, weight shifting and applications to vector bundles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917406839930880 |
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| author | Fasel, Jean Hornslien, William |
| author_facet | Fasel, Jean Hornslien, William |
| contents | Using motivic homotopy theory we produce several explicit polynomial representatives of the suspension of the Hopf map defined over the integers. We derive from this computation an explicit rank 2 vector bundle on the Jouanolou device of the projective space of dimension 3 over the integers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12541 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exotic Hopf maps, weight shifting and applications to vector bundles Fasel, Jean Hornslien, William Algebraic Geometry K-Theory and Homology 14F42, 19E15 Using motivic homotopy theory we produce several explicit polynomial representatives of the suspension of the Hopf map defined over the integers. We derive from this computation an explicit rank 2 vector bundle on the Jouanolou device of the projective space of dimension 3 over the integers. |
| title | Exotic Hopf maps, weight shifting and applications to vector bundles |
| topic | Algebraic Geometry K-Theory and Homology 14F42, 19E15 |
| url | https://arxiv.org/abs/2604.12541 |