$\infty$-operads via symmetric sequences

Rune Haugseng

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arXiv · 1708.09632

$\infty$-operads via symmetric sequences

Rune Haugseng

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Abstract

We construct a generalization of the Day convolution tensor product of presheaves that works for certain double $\infty$-categories. Using this construction, we obtain an $\infty$-categorical version of the well-known description of (one-object) operads as associative algebras in symmetric sequences; more generally, we show that (enriched) $\infty$-operads with varying spaces of objects can be described as associative algebras in a double $\infty$-category of symmetric collections.

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BibTeX RIS

Rune Haugseng. 2021-03-12. $\infty$-operads via symmetric sequences. https://arxiv.org/abs/1708.09632

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