Pullbacks of Sphere Fibrations over Connected Sums
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911592138932224 |
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| author | Chenery, Sebastian Theriault, Stephen |
| author_facet | Chenery, Sebastian Theriault, Stephen |
| contents | We prove conditions under which the total space of the pullback of a sphere fibration over a connected sum is homotopy equivalent to a connected sum with a gyration. Existing results of this type often depend on geometric methods. We develop new methods based only on homotopy theory, allowing for generalisations from manifolds to Poincaré Duality complexes and from integral settings to local ones. Several applications are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12586 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pullbacks of Sphere Fibrations over Connected Sums Chenery, Sebastian Theriault, Stephen Algebraic Topology Primary 57N65, Secondary 57P10, 55P15 We prove conditions under which the total space of the pullback of a sphere fibration over a connected sum is homotopy equivalent to a connected sum with a gyration. Existing results of this type often depend on geometric methods. We develop new methods based only on homotopy theory, allowing for generalisations from manifolds to Poincaré Duality complexes and from integral settings to local ones. Several applications are given. |
| title | Pullbacks of Sphere Fibrations over Connected Sums |
| topic | Algebraic Topology Primary 57N65, Secondary 57P10, 55P15 |
| url | https://arxiv.org/abs/2604.12586 |