On the equivalence of Brantner's and Chu--Haugseng's approaches to enriched $\infty$-operads

Kensuke Arakawa

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arXiv · 2603.23019

On the equivalence of Brantner's and Chu--Haugseng's approaches to enriched $\infty$-operads

Kensuke Arakawa

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Abstract

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.

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Kensuke Arakawa. 2026-03-24. On the equivalence of Brantner's and Chu--Haugseng's approaches to enriched $\infty$-operads. https://arxiv.org/abs/2603.23019

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