Polynomial $2$-monads and delooping
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910253562462208 |
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| author | De Leger, Florian |
| author_facet | De Leger, Florian |
| contents | Using the homotopy theory of polynomial monads developed by Batanin and Berger and extended to the $2$-categorical context by Weber, we prove the cofinality of a particular morphism of polynomial $2$-monads. We apply our result to give a new proof of the delooping of derived mapping spaces of infinitesimal bimodules due to Ducoulombier and Turchin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25222 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Polynomial $2$-monads and delooping De Leger, Florian Algebraic Topology Using the homotopy theory of polynomial monads developed by Batanin and Berger and extended to the $2$-categorical context by Weber, we prove the cofinality of a particular morphism of polynomial $2$-monads. We apply our result to give a new proof of the delooping of derived mapping spaces of infinitesimal bimodules due to Ducoulombier and Turchin. |
| title | Polynomial $2$-monads and delooping |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2605.25222 |