Hinich's model for Day convolution revisited

Christoph Winges

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arXiv · 2506.06025

Hinich's model for Day convolution revisited

Christoph Winges

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Abstract

We prove that Hinich's construction of the Day convolution operad of two $\mathcal{O}$-monoidal $\infty$-categories is an exponential in the $\infty$-category of $\infty$-operads over $\mathcal{O}$, and use this to give an explicit description of the formation of algebras in the Day convolution operad as a bivariant functor.

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Christoph Winges. 2025-06-06. Hinich's model for Day convolution revisited. https://arxiv.org/abs/2506.06025

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