Realizing Transfer Systems as Suboperads of Coinduced Operads
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916818052972544 |
|---|---|
| author | Szczesny, Ben |
| author_facet | Szczesny, Ben |
| contents | In this paper, we present an explicit method to identify equivariant suboperads of coinduced operads that contain only fixed points associated to any desired transfer system. Our method works for a class of operads that we call intersection operads, which includes many familiar operads of interest, including the little $k$-cube operads, the Steiner operad, and the linear isometries operad. As an application, we also construct an intersection $\mathbb{E}_\infty$-operad that, when applying our construction, will produce a $\mathbb{N}_\infty$-operad realizing an arbitrary transfer system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00251 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Realizing Transfer Systems as Suboperads of Coinduced Operads Szczesny, Ben Algebraic Topology 55P92 (Primary), 18M60 (Secondary) In this paper, we present an explicit method to identify equivariant suboperads of coinduced operads that contain only fixed points associated to any desired transfer system. Our method works for a class of operads that we call intersection operads, which includes many familiar operads of interest, including the little $k$-cube operads, the Steiner operad, and the linear isometries operad. As an application, we also construct an intersection $\mathbb{E}_\infty$-operad that, when applying our construction, will produce a $\mathbb{N}_\infty$-operad realizing an arbitrary transfer system. |
| title | Realizing Transfer Systems as Suboperads of Coinduced Operads |
| topic | Algebraic Topology 55P92 (Primary), 18M60 (Secondary) |
| url | https://arxiv.org/abs/2507.00251 |