Cofinal morphism of polynomial monads and double delooping
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913993942106112 |
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| author | De Leger, Florian |
| author_facet | De Leger, Florian |
| contents | Using the theory of internal algebras classifiers developed by Batanin and Berger, we construct a morphism of polynomial monads which we prove is homotopically cofinal. We then describe how this result constitutes the main conceptual argument for a categorical direct double delooping proof of the Turchin-Dwyer-Hess theorem concerning the explicit double delooping of spaces of long knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_09149 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Cofinal morphism of polynomial monads and double delooping De Leger, Florian Algebraic Topology Category Theory Using the theory of internal algebras classifiers developed by Batanin and Berger, we construct a morphism of polynomial monads which we prove is homotopically cofinal. We then describe how this result constitutes the main conceptual argument for a categorical direct double delooping proof of the Turchin-Dwyer-Hess theorem concerning the explicit double delooping of spaces of long knots. |
| title | Cofinal morphism of polynomial monads and double delooping |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2205.09149 |