On the equivalence of Brantner's and Chu--Haugseng's approaches to enriched $\infty$-operads
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914425799180288 |
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| 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 |