On the equivalence of Brantner's and Chu--Haugseng's approaches to enriched $\infty$-operads
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914425799180288 |
|---|---|
| author | Arakawa, Kensuke |
| author_facet | Arakawa, Kensuke |
| contents | We prove that two models of (monochromatic) enriched $\infty$-operads, due to Brantner and Chu--Haugseng, are equivalent. We show this as a consequence of the equivalence of two models of monoidal $\infty$-categories of symmetric sequences and the composition product, due to Brantner and Haugseng. As a consequence, constructions and results formulated in either framework, such as notions of algebra and Koszul duality, are also shown to be equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23019 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the equivalence of Brantner's and Chu--Haugseng's approaches to enriched $\infty$-operads Arakawa, Kensuke Algebraic Topology Category Theory We prove that two models of (monochromatic) enriched $\infty$-operads, due to Brantner and Chu--Haugseng, are equivalent. We show this as a consequence of the equivalence of two models of monoidal $\infty$-categories of symmetric sequences and the composition product, due to Brantner and Haugseng. As a consequence, constructions and results formulated in either framework, such as notions of algebra and Koszul duality, are also shown to be equivalent. |
| title | On the equivalence of Brantner's and Chu--Haugseng's approaches to enriched $\infty$-operads |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2603.23019 |