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Hinich's model for Day convolution revisited

Published 6 Jun 2025 in math.CT and math.AT | (2506.06025v1)

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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