The Goresky-Hingston Coproduct on Based Loop Spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911236181983232 |
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| author | Clivio, Jonathan |
| author_facet | Clivio, Jonathan |
| contents | We construct a lift of the Goresky-Hingston coproduct on the based loop space. Using this lift, we produce formulas for the interaction of the coproduct with the $π_1$-action and with maps of manifolds. These results lets us compute the coproduct on the based loop space for manifolds of the form $S^n/G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Goresky-Hingston Coproduct on Based Loop Spaces Clivio, Jonathan Algebraic Topology We construct a lift of the Goresky-Hingston coproduct on the based loop space. Using this lift, we produce formulas for the interaction of the coproduct with the $π_1$-action and with maps of manifolds. These results lets us compute the coproduct on the based loop space for manifolds of the form $S^n/G$. |
| title | The Goresky-Hingston Coproduct on Based Loop Spaces |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2510.23812 |