A Poincaré-Hopf theorem for n-valued vector fields
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909514751541248 |
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| author | Crabb, M. C. |
| author_facet | Crabb, M. C. |
| contents | The Poincaré-Hopf theorem for line fields, as described in a paper of Crowley and Grant, is interpreted as a special case of a Poincaré-Hopf theorem for $n$-valued sections of a vector bundle over a closed manifold of the same dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19945 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Poincaré-Hopf theorem for n-valued vector fields Crabb, M. C. Algebraic Topology 55M25, 57R25, 55M20, 57R22 The Poincaré-Hopf theorem for line fields, as described in a paper of Crowley and Grant, is interpreted as a special case of a Poincaré-Hopf theorem for $n$-valued sections of a vector bundle over a closed manifold of the same dimension. |
| title | A Poincaré-Hopf theorem for n-valued vector fields |
| topic | Algebraic Topology 55M25, 57R25, 55M20, 57R22 |
| url | https://arxiv.org/abs/2502.19945 |