Condensation of the operad for multiplicative hyperoperads
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916842681925632 |
|---|---|
| author | De Leger, Florian Grego, Maroš |
| author_facet | De Leger, Florian Grego, Maroš |
| contents | We construct a map of operads from an $E_2$-operad to the condensation of the operad for multiplicative hyperoperads. We deduce from it the existence of an $E_2$-action on the homotopy limit of the underlying functor of a multiplicative hyperoperad. This result is the higher dimensional analogue of a result due to Batanin and Berger implying Deligne's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10192 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Condensation of the operad for multiplicative hyperoperads De Leger, Florian Grego, Maroš Algebraic Topology We construct a map of operads from an $E_2$-operad to the condensation of the operad for multiplicative hyperoperads. We deduce from it the existence of an $E_2$-action on the homotopy limit of the underlying functor of a multiplicative hyperoperad. This result is the higher dimensional analogue of a result due to Batanin and Berger implying Deligne's conjecture. |
| title | Condensation of the operad for multiplicative hyperoperads |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2507.10192 |