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Factorization homology of enriched $\infty$-categories

Published 17 Oct 2017 in math.AT, math-ph, math.CT, math.MP, and math.QA | (1710.06414v2)

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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