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arXiv · 1710.06414

Factorization homology of enriched $\infty$-categories

David Ayala·John Francis·Aaron Mazel-Gee·Nick Rozenblyum
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Abstract

For an arbitrary symmetric monoidal $\infty$-category $\mathcal{V}$, we define the factorization homology of $\mathcal{V}$-enriched $(\infty,1)$-categories over (possibly stratified) 1-manifolds and study some of its basic properties. In the case of spectral enrichment, we show that the value of factorization homology on a circle is topological Hochschild homology.

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David Ayala, John Francis, Aaron Mazel-Gee, Nick Rozenblyum. 2017-10-17. Factorization homology of enriched $\infty$-categories. https://arxiv.org/abs/1710.06414

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